Below is a list ofintervals expressible in terms of a prime limit (seeTerminology), completed by a choice of intervals in various equal subdivisions of the octave or of other intervals.

For commonly encountered harmonic or melodic intervals between pairs ofnotes in contemporary Westernmusic theory, without consideration of the way in which they are tuned, seeInterval (music) § Main intervals.

• Theprime limit^[1] henceforth referred to simply as thelimit, is the largestprime number occurring in thefactorizations of the numerator and denominator of the frequency ratio describing a rational interval. For instance, the limit of thejust perfect fourth (4:3) is 3, but thejust minor tone (10:9) has a limit of 5, because 10 can be factored into2 × 5 (and 9 into3 × 3). There exists another type of limit, theodd limit, a concept used byHarry Partch (bigger of odd numbers obtained after dividing numerator and denominator by highest possible powers of 2), but it is not used here. The term "limit" was devised by Partch.^[1]
• By definition, every interval in a given limit can also be part of a limit of higher order. For instance, a 3-limit unit can also be part of a 5-limit tuning and so on. By sorting the limit columns in the table below, all intervals of a given limit can be brought together (sort backwards by clicking the button twice).
• Pythagorean tuning means 3-limit intonation—a ratio of numbers withprime factors no higher than three.
• Just intonation means5-limit intonation—a ratio of numbers withprime factors no higher than five.
• Septimal,undecimal,tridecimal, andseptendecimal mean, respectively, 7, 11, 13, and 17-limit intonation.
• Meantone refers tomeantone temperament, where the whole tone is the mean of the major third. In general, a meantone is constructed in the same way as Pythagorean tuning, as a stack of fifths: the tone is reached after two fifths, the major third after four, so that as all fifths are the same, the tone is the mean of the third. In a meantone temperament, each fifth is narrowed ("tempered") by the same small amount. The most common of meantone temperaments is thequarter-comma meantone, in which each fifth is tempered by1⁄4 of the syntonic comma, so that after four steps the major third (as C-G-D-A-E) is a full syntonic comma lower than the Pythagorean one. The extremes of the meantone systems encountered in historical practice are the Pythagorean tuning, where the whole tone corresponds to 9:8, i.e.⁠(3:2)²/2⁠, the mean of the major third⁠(3:2)⁴/4⁠, and the fifth (3:2) is not tempered; and the1⁄3-comma meantone, where the fifth is tempered to the extent that three ascending fifths produce a pure minor third.(Seemeantone temperaments). The music programLogic Pro uses also1⁄2-comma meantone temperament.
• Equal-tempered refers toX-toneequal temperament with intervals corresponding toX divisions per octave.
• Tempered intervals however cannot be expressed in terms of prime limits and, unless exceptions, are not found in the table below.
• The table can also be sorted by frequency ratio, by cents, or alphabetically.
• Superparticular ratios are intervals that can be expressed as the ratio of two consecutive integers.

List of musical intervals

Cents	Note (from C)	Freq. ratio	Prime factors	Interval name	TET	Limit	M	S
0.00	C[2]	1 : 1	1 : 1	playⓘUnison,[3] monophony,[4] perfect prime/first,[3]tonic,[5] orfundamental	1, 12	3	M
0.03		65537 : 65536	65537 : 216	playⓘSixty-five-thousand-five-hundred-thirty-seventh harmonic		65537		S
0.40	C♯−	4375 : 4374	54×7 : 2×37	playⓘRagisma[3][6]		7		S
0.72	E+	2401 : 2400	74 : 25×3×52	playⓘBreedsma[3][6]		7		S
1.00		21/1200	21/1200	playⓘCent[7]	1200
1.20		21/1000	21/1000	playⓘMillioctave	1000
1.95	B♯++	32805 : 32768	38×5 : 215	playⓘSchisma[3][5]		5
1.96		3:2÷(27/12)	3 : 219/12	Grad, Werckmeister[8]
3.99		101/1000	21/1000×51/1000	playⓘSavart oreptaméride	301.03
7.71	B♯	225 : 224	32×52 : 25×7	playⓘSeptimal kleisma,[3][6] marvel comma		7		S
8.11	B−	15625 : 15552	56 : 26×35	playⓘKleisma or semicomma majeur[3][6]		5
10.06	A++	2109375 : 2097152	33×57 : 221	playⓘSemicomma,[3][6] Fokker's comma[3]		5
10.85	C	160 : 159	25×5 : 3×53	playⓘDifference between 5:3 & 53:32		53		S
11.98	C	145 : 144	5×29 : 24×32	playⓘDifference between 29:16 & 9:5		29		S
12.50		21/96	21/96	playⓘSixteenth tone	96
13.07	B−	1728 : 1715	26×33 : 5×73	playⓘOrwell comma[3][9]		7
13.47	C	129 : 128	3×43 : 27	playⓘHundred-twenty-ninth harmonic		43		S
13.79	D	126 : 125	2×32×7 : 53	playⓘSmallseptimal semicomma,[6] small septimal comma,[3] starling comma		7		S
14.37	C♭↑↑−	121 : 120	112 : 23×3×5	playⓘUndecimalseconds comma[3]		11		S
16.67	C↑[a]	21/72	21/72	playⓘ1 step in72 equal temperament	72
18.13	C	96 : 95	25×3 : 5×19	playⓘDifference between 19:16 & 6:5		19		S
19.55	D--[2]	2048 : 2025	211 : 34×52	playⓘDiaschisma,[3][6] minor comma		5
21.51	C+[2]	81 : 80	34 : 24×5	playⓘSyntonic comma,[3][5][6] major comma, komma, chromatic diesis, or comma of Didymus[3][6][10][11]		5		S
22.64		21/53	21/53	playⓘHoldrian comma, Holder's comma, 1 step in53 equal temperament	53
23.46	B♯+++	531441 : 524288	312 : 219	playⓘPythagorean comma,[3][5][6][10][11] ditonic comma, Pythagoreanaugmented seventh[3][6]		3
25.00		21/48	21/48	playⓘEighth tone	48
26.84	C	65 : 64	5×13 : 26	playⓘSixty-fifth harmonic,[5] 13th-partial chroma[3]		13		S
27.26	C−	64 : 63	26 : 32×7	playⓘSeptimal comma,[3][6][11] Archytas' comma,[3] 63rd subharmonic		7		S
29.27		21/41	21/41	playⓘ1 step in41 equal temperament	41
31.19	D♭↓	56 : 55	23×7 : 5×11	playⓘ Undecimal diesis,[3] Ptolemy's enharmonic:[5] difference between (11 : 8) and (7 : 5) tritone		11		S
33.33	C/D♭[a]	21/36	21/36	playⓘSixth tone	36, 72
34.28	C	51 : 50	3×17 : 2×52	playⓘDifference between 17:16 & 25:24		17		S
34.98	B♯-	50 : 49	2×52 : 72	playⓘSeptimal sixth tone or jubilisma, Erlich's decatonic comma or tritonic diesis[3][6]		7		S
35.70	D♭	49 : 48	72 : 24×3	playⓘSeptimal diesis, slendro diesis or septimal 1/6-tone[3]		7		S
38.05	C	46 : 45	2×23 : 32×5	playⓘInferior quarter tone,[5] difference between 23:16 & 45:32		23		S
38.71		21/31	21/31	playⓘ1 step in31 equal temperament or NormalDiesis	31
38.91	C↓♯+	45 : 44	32×5 : 4×11	playⓘUndecimal diesis or undecimal fifth tone		11		S
40.00		21/30	21/30	playⓘFifth tone	30
41.06	D−	128 : 125	27 : 53	playⓘEnharmonic diesis or 5-limit limma, minor diesis,[6] diminished second,[5][6] minor diesis or diesis,[3] 125th subharmonic		5
41.72	D♭	42 : 41	2×3×7 : 41	playⓘLesser 41-limit fifth tone		41		S
42.75	C	41 : 40	41 : 23×5	playⓘGreater 41-limit fifth tone		41		S
43.83	C♯	40 : 39	23×5 : 3×13	playⓘTridecimal fifth tone		13		S
44.97	C	39 : 38	3×13 : 2×19	playⓘSuperior quarter-tone,[5] novendecimal fifth tone		19		S
46.17	D-	38 : 37	2×19 : 37	playⓘLesser 37-limit quarter tone		37		S
47.43	C♯	37 : 36	37 : 22×32	playⓘGreater 37-limit quarter tone		37		S
48.77	C	36 : 35	22×32 : 5×7	playⓘSeptimal quarter tone, septimal diesis,[3][6] septimal chroma,[2] superior quarter tone[5]		7		S
49.98		246 : 239	3×41 : 239	playⓘJust quarter tone[11]		239
50.00	C/D	21/24	21/24	playⓘEqual-temperedquarter tone	24
50.18	D♭	35 : 34	5×7 : 2×17	playⓘET quarter-tone approximation,[5] lesser 17-limit quarter tone		17		S
50.72	B♯++	59049 : 57344	310 : 213×7	playⓘHarrison's comma (10 P5s – 1 H7)[3]		7
51.68	C↓♯	34 : 33	2×17 : 3×11	playⓘGreater 17-limit quarter tone		17		S
53.27	C↑	33 : 32	3×11 : 25	playⓘThirty-third harmonic,[5] undecimal comma, undecimal quarter tone		11		S
54.96	D♭-	32 : 31	25 : 31	playⓘInferior quarter-tone,[5] thirty-first subharmonic		31		S
56.55	B♯+	529 : 512	232 : 29	playⓘFive-hundred-twenty-ninth harmonic		23
56.77	C	31 : 30	31 : 2×3×5	playⓘGreater quarter-tone,[5] difference between 31:16 & 15:8		31		S
58.69	C♯	30 : 29	2×3×5 : 29	playⓘLesser 29-limit quarter tone		29		S
60.75	C	29 : 28	29 : 22×7	playⓘGreater 29-limit quarter tone		29		S
62.96	D♭-	28 : 27	22×7 : 33	playⓘSeptimal minor second, small minor second, inferior quarter tone[5]		7		S
63.81		(3 : 2)1/11	31/11 : 21/11	playⓘBeta scale step	18.80
65.34	C♯+	27 : 26	33 : 2×13	playⓘChromatic diesis,[12] tridecimal comma[3]		13		S
66.34	D♭	133 : 128	7×19 : 27	playⓘOne-hundred-thirty-third harmonic		19
66.67	C↑/C♯[a]	21/18	21/18	playⓘThird tone	18, 36, 72
67.90	D-	26 : 25	2×13 : 52	playⓘTridecimal third tone, third tone[5]		13		S
70.67	C♯[2]	25 : 24	52 : 23×3	playⓘJust chromatic semitone or minor chroma,[3] lesser chromatic semitone, small (just) semitone[11] or minor second,[4] minor chromatic semitone,[13] or minor semitone,[5]2⁄7-comma meantone chromatic semitone, augmented unison		5		S
73.68	D♭-	24 : 23	23×3 : 23	playⓘLesser 23-limit semitone		23		S
75.00		21/16	23/48	playⓘ1 step in 16 equal temperament, 3 steps in 48	16, 48
76.96	C↓♯+	23 : 22	23 : 2×11	playⓘGreater 23-limit semitone		23		S
78.00		(3 : 2)1/9	31/9 : 21/9	playⓘAlpha scale step	15.39
79.31		67 : 64	67 : 26	playⓘSixty-seventh harmonic[5]		67
80.54	C↑-	22 : 21	2×11 : 3×7	playⓘHard semitone,[5] two-fifth tone small semitone		11		S
84.47	D♭	21 : 20	3×7 : 22×5	playⓘSeptimal chromatic semitone, minor semitone[3]		7		S
88.80	C♯	20 : 19	22×5 : 19	playⓘNovendecimal augmented unison		19		S
90.22	D♭−−[2]	256 : 243	28 : 35	playⓘPythagoreanminor second orlimma,[3][6][11] Pythagorean diatonic semitone, Low Semitone[14]		3
92.18	C♯+[2]	135 : 128	33×5 : 27	playⓘGreater chromatic semitone, chromatic semitone, semitone medius, major chroma or major limma,[3] small limma,[11] major chromatic semitone,[13] limma ascendant[5]		5
93.60	D♭-	19 : 18	19 : 2×32	Novendecimal minor secondplayⓘ		19		S
97.36	D↓↓	128 : 121	27 : 112	playⓘ121st subharmonic,[5][6] undecimal minor second		11
98.95	D♭	18 : 17	2×32 : 17	playⓘJust minor semitone, Arabic lute index finger[3]		17		S
100.00	C♯/D♭	21/12	21/12	playⓘEqual-temperedminor second orsemitone	12		M
104.96	C♯[2]	17 : 16	17 : 24	playⓘMinor diatonic semitone, just major semitone, overtone semitone,[5] 17th harmonic,[3] limma[citation needed]		17		S
111.45		25√5	(5 : 1)1/25	playⓘStudie II interval (compound just major third, 5:1, divided into 25 equal parts)	10.77
111.73	D♭-[2]	16 : 15	24 : 3×5	playⓘJust minor second,[15]just diatonic semitone, large just semitone or major second,[4] major semitone,[5] limma, minor diatonic semitone,[3] diatonic second[16] semitone,[14] diatonic semitone,[11]1⁄6-comma meantone minor second		5		S
113.69	C♯++	2187 : 2048	37 : 211	playⓘApotome[3][11] or Pythagorean major semitone,[6] Pythagoreanaugmented unison, Pythagorean chromatic semitone, orPythagorean apotome		3
116.72		(18 : 5)1/19	21/19×32/19 : 51/19	playⓘSecor	10.28
119.44	C♯	15 : 14	3×5 : 2×7	playⓘSeptimal diatonic semitone, major diatonic semitone,[3] Cowell semitone[5]		7		S
125.00		25/48	25/48	playⓘ5 steps in 48 equal temperament	48
128.30	D	14 : 13	2×7 : 13	playⓘLesser tridecimal 2/3-tone[17]		13		S
130.23	C♯+	69 : 64	3×23 : 26	playⓘSixty-ninth harmonic[5]		23
133.24	D♭	27 : 25	33 : 52	playⓘSemitone maximus, minor second, large limma or Bohlen-Pierce small semitone,[3] high semitone,[14] alternate Renaissance half-step,[5] large limma, acute minor second[citation needed]		5
133.33	C♯/D♭[a]	21/9	22/18	playⓘTwo-third tone	9, 18, 36, 72
138.57	D♭-	13 : 12	13 : 22×3	playⓘGreater tridecimal 2/3-tone,[17] Three-quarter tone[5]		13		S
150.00	C/D	23/24	21/8	playⓘEqual-temperedneutral second	8, 24
150.64	D↓[2]	12 : 11	22×3 : 11	playⓘ3⁄4 tone or Undecimalneutral second,[3][5] trumpet three-quarter tone,[11] middle finger [between frets][14]		11		S
155.14	D	35 : 32	5×7 : 25	playⓘThirty-fifth harmonic[5]		7
160.90	D−−	800 : 729	25×52 : 36	playⓘGrave whole tone,[3] neutral second, grave major second[citation needed]		5
165.00	D↑♭−[2]	11 : 10	11 : 2×5	playⓘGreater undecimal minor/major/neutral second, 4/5-tone[6] or Ptolemy's second[3]		11		S
171.43		21/7	21/7	playⓘ1 step in7 equal temperament	7
175.00		27/48	27/48	playⓘ7 steps in 48 equal temperament	48
179.70		71 : 64	71 : 26	playⓘSeventy-first harmonic[5]		71
180.45	E−−−	65536 : 59049	216 : 310	playⓘPythagoreandiminished third,[3][6] Pythagorean minor tone		3
182.40	D−[2]	10 : 9	2×5 : 32	playⓘSmall just whole tone or major second,[4] minor whole tone,[3][5] lesser whole tone,[16] minor tone,[14] minor second,[11] half-comma meantone major second		5		S
200.00	D	22/12	21/6	playⓘEqual-temperedmajor second	6, 12		M
203.91	D[2]	9 : 8	32 : 23	playⓘPythagoreanmajor second,Large just whole tone or major second[11] (sesquioctavan),[4]tonus, major whole tone,[3][5] greater whole tone,[16] major tone[14]		3		S
215.89	D	145 : 128	5×29 : 27	playⓘHundred-forty-fifth harmonic		29
223.46	E−[2]	256 : 225	28 : 32×52	playⓘJustdiminished third,[16] 225th subharmonic		5
225.00		23/16	29/48	playⓘ9 steps in 48 equal temperament	16, 48
227.79		73 : 64	73 : 26	playⓘSeventy-third harmonic[5]		73
231.17	D−[2]	8 : 7	23 : 7	playⓘSeptimal major second,[4] septimal whole tone[3][5]		7		S
240.00		21/5	21/5	playⓘ1 step in5 equal temperament	5
247.74	D♯	15 : 13	3×5 : 13	playⓘTridecimal5⁄4 tone[3]		13
250.00	D/E	25/24	25/24	playⓘ5 steps in 24 equal temperament	24
251.34	D♯	37 : 32	37 : 25	playⓘThirty-seventh harmonic[5]		37
253.08	D♯−	125 : 108	53 : 22×33	playⓘSemi-augmented whole tone,[3] semi-augmented second[citation needed]		5
262.37	E↓♭	64 : 55	26 : 5×11	playⓘ55th subharmonic[5][6]		11
266.87	E♭[2]	7 : 6	7 : 2×3	playⓘSeptimal minor third[3][4][11] or Sub minor third[14]		7		S
268.80	D	299 : 256	13×23 : 28	playⓘTwo-hundred-ninety-ninth harmonic		23
274.58	D♯[2]	75 : 64	3×52 : 26	playⓘJustaugmented second,[16] Augmented tone,[14] augmented second[5][13]		5
275.00		211/48	211/48	playⓘ11 steps in 48 equal temperament	48
289.21	E↓♭	13 : 11	13 : 11	playⓘTridecimal minor third[3]		13
294.13	E♭−[2]	32 : 27	25 : 33	playⓘPythagorean minor third[3][5][6][14][16]semiditone, or 27th subharmonic		3
297.51	E♭[2]	19 : 16	19 : 24	playⓘ19th harmonic,[3] 19-limit minor third, overtone minor third[5]		19
300.00	D♯/E♭	23/12	21/4	playⓘEqual-temperedminor third	4, 12		M
301.85	D♯-	25 : 21[5]	52 : 3×7	playⓘQuasi-equal-tempered minor third, 2nd 7-limit minor third, Bohlen-Pierce second[3][6]		7
310.26		6:5÷(81:80)1/4	22 : 53/4	playⓘQuarter-comma meantone minor third			M
311.98		(3 : 2)4/9	34/9 : 24/9	playⓘAlpha scaleminor third	15.39
315.64	E♭[2]	6 : 5	2×3 : 5	playⓘJust minor third,[3][4][5][11][16] minor third,[14]1⁄3-comma meantone minor third		5	M	S
317.60	D♯++	19683 : 16384	39 : 214	playⓘPythagoreanaugmented second[3][6]		3
320.14	E♭↑	77 : 64	7×11 : 26	playⓘSeventy-seventh harmonic[5]		11
325.00		213/48	213/48	playⓘ13 steps in 48 equal temperament	48
336.13	D♯-	17 : 14	17 : 2×7	playⓘSuperminor third[18]		17
337.15	E♭+	243 : 200	35 : 23×52	playⓘAcute minor third[3]		5
342.48	E♭	39 : 32	3×13 : 25	playⓘThirty-ninth harmonic[5]		13
342.86		22/7	22/7	playⓘ2 steps in7 equal temperament	7
342.91	E♭-	128 : 105	27 : 3×5×7	playⓘ105th subharmonic,[5] septimal neutral third[6]		7
347.41	E↑♭−[2]	11 : 9	11 : 32	playⓘUndecimalneutral third[3][5]		11
350.00	D/E	27/24	27/24	playⓘEqual-temperedneutral third	24
354.55	E↓+	27 : 22	33 : 2×11	playⓘZalzal's wosta[6] 12:11 X 9:8[14]		11
359.47	E[2]	16 : 13	24 : 13	playⓘTridecimalneutral third[3]		13
364.54		79 : 64	79 : 26	playⓘSeventy-ninth harmonic[5]		79
364.81	E−	100 : 81	22×52 : 34	playⓘGrave major third[3]		5
375.00		25/16	215/48	playⓘ15 steps in 48 equal temperament	16, 48
384.36	F♭−−	8192 : 6561	213 : 38	playⓘPythagoreandiminished fourth,[3][6] Pythagorean 'schismatic' third[5]		3
386.31	E[2]	5 : 4	5 : 22	playⓘJust major third,[3][4][5][11][16] major third,[14] quarter-comma meantone major third		5	M	S
397.10	E+	161 : 128	7×23 : 27	playⓘOne-hundred-sixty-first harmonic		23
400.00	E	24/12	21/3	playⓘEqual-temperedmajor third	3, 12		M
402.47	E	323 : 256	17×19 : 28	playⓘThree-hundred-twenty-third harmonic		19
407.82	E+[2]	81 : 64	34 : 26	playⓘPythagoreanmajor third,[3][5][6][14][16]ditone		3
417.51	F↓+[2]	14 : 11	2×7 : 11	playⓘUndecimal diminished fourth or major third[3]		11
425.00		217/48	217/48	playⓘ17 steps in 48 equal temperament	48
427.37	F♭[2]	32 : 25	25 : 52	playⓘJustdiminished fourth,[16] diminished fourth,[5][13] 25th subharmonic		5
429.06	E	41 : 32	41 : 25	playⓘForty-first harmonic[5]		41
435.08	E[2]	9 : 7	32 : 7	playⓘSeptimal major third,[3][5] Bohlen-Pierce third,[3] Super major Third[14]		7
444.77	F↓	128 : 99	27 : 32×11	playⓘ99th subharmonic[5][6]		11
450.00	E/F	29/24	29/24	playⓘ9 steps in 24 equal temperament	8, 24
450.05		83 : 64	83 : 26	playⓘEighty-third harmonic[5]		83
454.21	F♭	13 : 10	13 : 2×5	playⓘTridecimal major third or diminished fourth		13
456.99	E♯[2]	125 : 96	53 : 25×3	playⓘJustaugmented third, augmented third[5]		5
462.35	E-	64 : 49	26 : 72	playⓘ49th subharmonic[5][6]		7
470.78	F+[2]	21 : 16	3×7 : 24	playⓘTwenty-first harmonic, narrow fourth,[3] septimal fourth,[5] wide augmented third,[citation needed] H7 on G		7
475.00		219/48	219/48	playⓘ19 steps in 48 equal temperament	48
478.49	E♯+	675 : 512	33×52 : 29	playⓘSix-hundred-seventy-fifth harmonic, wide augmented third[3]		5
480.00		22/5	22/5	playⓘ2 steps in5 equal temperament	5
491.27	E♯	85 : 64	5×17 : 26	playⓘEighty-fifth harmonic[5]		17
498.04	F[2]	4 : 3	22 : 3	playⓘPerfect fourth,[3][5][16] Pythagoreanperfect fourth, Just perfect fourth ordiatessaron[4]		3		S
500.00	F	25/12	25/12	playⓘEqual-temperedperfect fourth	12		M
501.42	F+	171 : 128	32×19 : 27	playⓘOne-hundred-seventy-first harmonic		19
510.51		(3 : 2)8/11	38/11 : 28/11	playⓘBeta scaleperfect fourth	18.80
511.52	F	43 : 32	43 : 25	playⓘForty-third harmonic[5]		43
514.29		23/7	23/7	playⓘ3 steps in7 equal temperament	7
519.55	F+[2]	27 : 20	33 : 22×5	playⓘ5-limitwolf fourth, acute fourth,[3] imperfect fourth[16]		5
521.51	E♯+++	177147 : 131072	311 : 217	playⓘPythagoreanaugmented third[3][6] (F+ (pitch))		3
525.00		27/16	221/48	playⓘ21 steps in 48 equal temperament	16, 48
531.53	F+	87 : 64	3×29 : 26	playⓘEighty-seventh harmonic[5]		29
536.95	F↓♯+	15 : 11	3×5 : 11	playⓘUndecimal augmented fourth[3]		11
550.00	F/G	211/24	211/24	playⓘ11 steps in 24 equal temperament	24
551.32	F↑[2]	11 : 8	11 : 23	playⓘeleventh harmonic,[5] undecimal tritone,[5] lesser undecimal tritone, undecimal semi-augmented fourth[3]		11
563.38	F♯+	18 : 13	2×9 : 13	playⓘTridecimal augmented fourth[3]		13
568.72	F♯[2]	25 : 18	52 : 2×32	playⓘJust augmented fourth[3][5]		5
570.88		89 : 64	89 : 26	playⓘEighty-ninth harmonic[5]		89
575.00		223/48	223/48	playⓘ23 steps in 48 equal temperament	48
582.51	G♭[2]	7 : 5	7 : 5	playⓘLesserseptimal tritone, septimal tritone[3][4][5] Huygens' tritone or Bohlen-Pierce fourth,[3] septimal fifth,[11] septimal diminished fifth[19]		7
588.27	G♭−−	1024 : 729	210 : 36	playⓘPythagoreandiminished fifth,[3][6] low Pythagorean tritone[5]		3
590.22	F♯+[2]	45 : 32	32×5 : 25	playⓘJust augmented fourth, just tritone,[4][11] tritone,[6] diatonic tritone,[3] 'augmented' or 'false' fourth,[16] high 5-limit tritone,[5]1⁄6-comma meantone augmented fourth		5
595.03	G♭	361 : 256	192 : 28	playⓘThree-hundred-sixty-first harmonic		19
600.00	F♯/G♭	26/12	21/2=√2	playⓘEqual-temperedtritone	2, 12		M
609.35	G♭	91 : 64	7×13 : 26	playⓘNinety-first harmonic[5]		13
609.78	G♭−[2]	64 : 45	26 : 32×5	playⓘJust tritone,[4] 2nd tritone,[6] 'false' fifth,[16] diminished fifth,[13] low 5-limit tritone,[5] 45th subharmonic		5
611.73	F♯++	729 : 512	36 : 29	playⓘPythagoreantritone,[3][6] Pythagorean augmented fourth, high Pythagorean tritone[5]		3
617.49	F♯[2]	10 : 7	2×5 : 7	playⓘGreaterseptimal tritone, septimal tritone,[4][5] Euler's tritone[3]		7
625.00		225/48	225/48	playⓘ25 steps in 48 equal temperament	48
628.27	F♯+	23 : 16	23 : 24	playⓘTwenty-third harmonic,[5] classic diminished fifth[citation needed]		23
631.28	G♭[2]	36 : 25	22×32 : 52	playⓘJustdiminished fifth[5]		5
646.99	F♯+	93 : 64	3×31 : 26	playⓘNinety-third harmonic[5]		31
648.68	G↓[2]	16 : 11	24 : 11	playⓘ` undecimal semi-diminished fifth[3]		11
650.00	F/G	213/24	213/24	playⓘ13 steps in 24 equal temperament	24
665.51	G	47 : 32	47 : 25	playⓘForty-seventh harmonic[5]		47
675.00		29/16	227/48	playⓘ27 steps in 48 equal temperament	16, 48
678.49	A−−−	262144 : 177147	218 : 311	playⓘPythagoreandiminished sixth[3][6]		3
680.45	G−	40 : 27	23×5 : 33	playⓘ5-limitwolf fifth,[5] ordiminished sixth, grave fifth,[3][6][11] imperfect fifth,[16]		5
683.83	G	95 : 64	5×19 : 26	playⓘNinety-fifth harmonic[5]		19
684.82	E++	12167 : 8192	233 : 213	playⓘ12167th harmonic		23
685.71		24/7 : 1		playⓘ4 steps in 7 equal temperament	7
691.20		3:2÷(81:80)1/2	2×51/2 : 3	playⓘHalf-comma meantone perfect fifth			M
694.79		3:2÷(81:80)1/3	21/3×51/3 : 31/3	playⓘ1⁄3-comma meantone perfect fifth			M
695.81		3:2÷(81:80)2/7	21/7×52/7 : 31/7	playⓘ2⁄7-comma meantone perfect fifth			M
696.58		3:2÷(81:80)1/4	51/4	playⓘQuarter-comma meantone perfect fifth			M
697.65		3:2÷(81:80)1/5	31/5×51/5 : 21/5	playⓘ1⁄5-comma meantone perfect fifth			M
698.37		3:2÷(81:80)1/6	31/3×51/6 : 21/3	playⓘ1⁄6-comma meantone perfect fifth			M
700.00	G	27/12	27/12	playⓘEqual-temperedperfect fifth	12		M
701.89		231/53	231/53	playⓘ53-TETperfect fifth	53
701.96	G[2]	3 : 2	3 : 2	playⓘPerfect fifth,[3][5][16] Pythagorean perfect fifth, Just perfect fifth ordiapente,[4] fifth,[14] Just fifth[11]		3		S
702.44		224/41	224/41	playⓘ41-TETperfect fifth	41
703.45		217/29	217/29	playⓘ29-TETperfect fifth	29
719.90		97 : 64	97 : 26	playⓘNinety-seventh harmonic[5]		97
720.00		23/5 : 1		playⓘ3 steps in 5 equal temperament	5
721.51	A−	1024 : 675	210 : 33×52	playⓘNarrow diminished sixth[3]		5
725.00		229/48	229/48	playⓘ29 steps in 48 equal temperament	48
729.22	G-	32 : 21	24 : 3×7	playⓘ21st subharmonic,[5][6] septimaldiminished sixth		7
733.23	F+	391 : 256	17×23 : 28	playⓘThree-hundred-ninety-first harmonic		23
737.65	A♭+	49 : 32	7×7 : 25	playⓘForty-ninth harmonic[5]		7
743.01	A	192 : 125	26×3 : 53	playⓘClassicdiminished sixth[3]		5
750.00	G/A	215/24	215/24	playⓘ15 steps in 24 equal temperament	8, 24
755.23	G↑	99 : 64	32×11 : 26	playⓘNinety-ninth harmonic[5]		11
764.92	A♭[2]	14 : 9	2×7 : 32	playⓘSeptimal minor sixth[3][5]		7
772.63	G♯	25 : 16	52 : 24	playⓘJustaugmented fifth[5][16]		5
775.00		231/48	231/48	playⓘ31 steps in 48 equal temperament	48
781.79		π : 2		playⓘWallis product
782.49	G↑-[2]	11 : 7	11 : 7	playⓘUndecimal minor sixth,[5] undecimal augmented fifth,[3]Lucas numbers		11
789.85		101 : 64	101 : 26	playⓘHundred-first harmonic[5]		101
792.18	A♭−[2]	128 : 81	27 : 34	playⓘPythagoreanminor sixth,[3][5][6] 81st subharmonic		3
798.40	A♭+	203 : 128	7×29 : 27	playⓘTwo-hundred-third harmonic		29
800.00	G♯/A♭	28/12	22/3	playⓘEqual-temperedminor sixth	3, 12		M
806.91	G♯	51 : 32	3×17 : 25	playⓘFifty-first harmonic[5]		17
813.69	A♭[2]	8 : 5	23 : 5	playⓘJustminor sixth[3][4][11][16]		5
815.64	G♯++	6561 : 4096	38 : 212	playⓘPythagoreanaugmented fifth,[3][6] Pythagorean 'schismatic' sixth[5]		3
823.80		103 : 64	103 : 26	playⓘHundred-third harmonic[5]		103
825.00		211/16	233/48	playⓘ33 steps in 48 equal temperament	16, 48
832.18	G♯+	207 : 128	32×23 : 27	playⓘTwo-hundred-seventh harmonic		23
833.09		(51/2+1)/2	φ : 1	playⓘGolden ratio (833 cents scale)
835.19	A♭+	81 : 50	34 : 2×52	playⓘAcute minor sixth[3]		5
840.53	A♭[2]	13 : 8	13 : 23	playⓘTridecimalneutral sixth,[3]Fibonacci numbers, overtone sixth,[5]thirteenth harmonic		13
848.83	A♭↑	209 : 128	11×19 : 27	playⓘTwo-hundred-ninth harmonic		19
850.00	G/A	217/24	217/24	playⓘEqual-temperedneutral sixth	24
852.59	A↓+[2]	18 : 11	2×32 : 11	playⓘUndecimalneutral sixth,[3][5] Zalzal's neutral sixth		11
857.09	A+	105 : 64	3×5×7 : 26	playⓘHundred-fifth harmonic[5]		7
857.14		25/7	25/7	playⓘ5 steps in7 equal temperament	7
862.85	A−	400 : 243	24×52 : 35	playⓘGrave major sixth[3]		5
873.50	A	53 : 32	53 : 25	playⓘFifty-third harmonic[5]		53
875.00		235/48	235/48	playⓘ35 steps in 48 equal temperament	48
879.86	A↓	128 : 77	27 : 7×11	playⓘ77th subharmonic[5][6]		11
882.40	B−−−	32768 : 19683	215 : 39	playⓘPythagoreandiminished seventh[3][6]		3
884.36	A[2]	5 : 3	5 : 3	playⓘJustmajor sixth,[3][4][5][11][16] Bohlen-Pierce sixth,[3]1⁄3-comma meantone major sixth		5	M
889.76		107 : 64	107 : 26	playⓘHundred-seventh harmonic[5]		107
892.54	B	6859 : 4096	193 : 212	playⓘ6859th harmonic		19
900.00	A	29/12	23/4	playⓘEqual-temperedmajor sixth	4, 12		M
902.49	A	32 : 19	25 : 19	playⓘ19th subharmonic[5][6]		19
905.87	A+[2]	27 : 16	33 : 24	playⓘPythagoreanmajor sixth[3][5][11][16]		3
921.82		109 : 64	109 : 26	playⓘHundred-ninth harmonic[5]		109
925.00		237/48	237/48	playⓘ37 steps in 48 equal temperament	48
925.42	B−[2]	128 : 75	27 : 3×52	playⓘJustdiminished seventh,[16] diminished seventh,[5][13] 75th subharmonic		5
925.79	A+	437 : 256	19×23 : 28	playⓘFour-hundred-thirty-seventh harmonic		23
933.13	A[2]	12 : 7	22×3 : 7	playⓘSeptimal major sixth[3][4][5]		7
937.63	A↑	55 : 32	5×11 : 25	playⓘFifty-fifth harmonic[5][20]		11
950.00	A/B	219/24	219/24	playⓘ19 steps in 24 equal temperament	24
953.30	A♯+	111 : 64	3×37 : 26	playⓘHundred-eleventh harmonic[5]		37
955.03	A♯[2]	125 : 72	53 : 23×32	playⓘJustaugmented sixth[5]		5
957.21		(3 : 2)15/11	315/11 : 215/11	playⓘ15 steps inBeta scale	18.80
960.00		24/5	24/5	playⓘ4 steps in5 equal temperament	5
968.83	B♭[2]	7 : 4	7 : 22	playⓘSeptimal minor seventh,[4][5][11] harmonic seventh,[3][11] augmented sixth[citation needed]		7
975.00		213/16	239/48	playⓘ39 steps in 48 equal temperament	16, 48
976.54	A♯+[2]	225 : 128	32×52 : 27	playⓘJustaugmented sixth[16]		5
984.21		113 : 64	113 : 26	playⓘHundred-thirteenth harmonic[5]		113
996.09	B♭−[2]	16 : 9	24 : 32	playⓘPythagoreanminor seventh,[3] Small just minor seventh,[4] lesser minor seventh,[16] just minor seventh,[11] Pythagorean small minor seventh[5]		3
999.47	B♭	57 : 32	3×19 : 25	playⓘFifty-seventh harmonic[5]		19
1000.00	A♯/B♭	210/12	25/6	playⓘEqual-temperedminor seventh	6, 12		M
1014.59	A♯+	115 : 64	5×23 : 26	playⓘHundred-fifteenth harmonic[5]		23
1017.60	B♭[2]	9 : 5	32 : 5	playⓘGreater justminor seventh,[16] large just minor seventh,[4][5] Bohlen-Pierce seventh[3]		5
1019.55	A♯+++	59049 : 32768	310 : 215	playⓘPythagoreanaugmented sixth[3][6]		3
1025.00		241/48	241/48	playⓘ41 steps in 48 equal temperament	48
1028.57		26/7	26/7	playⓘ6 steps in7 equal temperament	7
1029.58	B♭	29 : 16	29 : 24	playⓘTwenty-ninth harmonic,[5] minor seventh[citation needed]		29
1035.00	B↓[2]	20 : 11	22×5 : 11	playⓘLesser undecimalneutral seventh, large minor seventh[3]		11
1039.10	B♭+	729 : 400	36 : 24×52	playⓘAcute minor seventh[3]		5
1044.44	B♭	117 : 64	32×13 : 26	playⓘHundred-seventeenth harmonic[5]		13
1044.86	B♭-	64 : 35	26 : 5×7	playⓘ35th subharmonic,[5] septimal neutral seventh[6]		7
1049.36	B↑♭−[2]	11 : 6	11 : 2×3	playⓘ21⁄4-tone or Undecimalneutral seventh,[3] undecimal 'median' seventh[5]		11
1050.00	A/B	221/24	27/8	playⓘEqual-temperedneutral seventh	8, 24
1059.17		59 : 32	59 : 25	playⓘFifty-ninth harmonic[5]		59
1066.76	B−	50 : 27	2×52 : 33	playⓘGrave major seventh[3]		5
1071.70	B♭-	13 : 7	13 : 7	playⓘTridecimal neutral seventh[21]		13
1073.78	B	119 : 64	7×17 : 26	playⓘHundred-nineteenth harmonic[5]		17
1075.00		243/48	243/48	playⓘ43 steps in 48 equal temperament	48
1086.31	C′♭−−	4096 : 2187	212 : 37	playⓘPythagoreandiminished octave[3][6]		3
1088.27	B[2]	15 : 8	3×5 : 23	playⓘJustmajor seventh,[3][5][11][16] small just major seventh,[4]1⁄6-comma meantone major seventh		5
1095.04	C♭	32 : 17	25 : 17	playⓘ17th subharmonic[5][6]		17
1100.00	B	211/12	211/12	playⓘEqual-temperedmajor seventh	12		M
1102.64	B↑↑♭-	121 : 64	112 : 26	playⓘHundred-twenty-first harmonic[5]		11
1107.82	C′♭−	256 : 135	28 : 33×5	playⓘOctave − major chroma,[3] 135th subharmonic, narrow diminished octave[citation needed]		5
1109.78	B+[2]	243 : 128	35 : 27	playⓘPythagoreanmajor seventh[3][5][6][11]		3
1116.88		61 : 32	61 : 25	playⓘSixty-first harmonic[5]		61
1125.00		215/16	245/48	playⓘ45 steps in 48 equal temperament	16, 48
1129.33	C′♭[2]	48 : 25	24×3 : 52	playⓘClassic diminished octave,[3][6] large justmajor seventh[4]		5
1131.02	B	123 : 64	3×41 : 26	playⓘHundred-twenty-third harmonic[5]		41
1137.04	B	27 : 14	33 : 2×7	playⓘSeptimal major seventh[5]		7
1138.04	C♭	247 : 128	13×19 : 27	playⓘTwo-hundred-forty-seventh harmonic		19
1145.04	B	31 : 16	31 : 24	playⓘThirty-first harmonic,[5] augmented seventh[citation needed]		31
1146.73	C↓	64 : 33	26 : 3×11	playⓘ33rd subharmonic[6]		11
1150.00	B/C	223/24	223/24	playⓘ23 steps in 24 equal temperament	24
1151.23	C	35 : 18	5×7 : 2×32	playⓘSeptimal supermajor seventh, septimal quarter tone inverted		7
1158.94	B♯[2]	125 : 64	53 : 26	playⓘJustaugmented seventh,[5] 125th harmonic		5
1172.74	C+	63 : 32	32×7 : 25	playⓘSixty-third harmonic[5]		7
1175.00		247/48	247/48	playⓘ47 steps in 48 equal temperament	48
1178.49	C′−	160 : 81	25×5 : 34	playⓘOctave − syntonic comma,[3] semi-diminished octave[citation needed]		5
1179.59	B↑	253 : 128	11×23 : 27	playⓘTwo-hundred-fifty-third harmonic[5]		23
1186.42		127 : 64	127 : 26	playⓘHundred-twenty-seventh harmonic[5]		127
1200.00	C′	2 : 1	2 : 1	playⓘOctave,[3][11] perfect eighth ordiapason[4]	1, 12	3	M	S