User:Dave Keenan/gallery

Gallery of just intervals

Frequency Ratio	Cents Value (7 sig. dig.)	Sagittal notation	Color Name	FJS Name	Some common names
1/1	0.000000	^{[note 1]} 	w1, wa unison	P1 ^{[note 2]}	unity, perfect prime, Tonic, unison
32805/32768	1.953721		Ly-2, Layo comma	d-2⁵	schisma ([-15, 8, 1⟩)
256/255	6.775876		17ug1, Sugu comma	P1₈₅	charisma, charic comma, septendecimal kleisma
225/224	7.711523		ryy-2, Ruyoyo comma	d-2²⁵₇	septimal kleisma, marvel comma ([-5, 2, 2, -1⟩)
126/125	13.79477		zg³2, Zotrigu comma	d2⁷₁₂₅	septimal semicomma, starling comma ([1, 2, -3, 1⟩)
100/99	17.39948		1uyy1, Luyoyo comma	A1²⁵₁₁	Ptolemy's comma, ptolemisma
99/98	17.57613		1orr-2, Loruru comma	m-2¹¹₄₉	mothwellsma
2048/2025	19.55257		sgg2, Sagugu comma	d2₂₅	diaschisma ([11, -4, -2⟩)
81/80	21.50629		g1, Gu comma	P1₅	meantone comma, syntonic comma, Didymus comma
531441/524288	23.46001		LLw-2, Lalawa comma	d-2	Pythagorean comma, ditonic comma ([-19, 12⟩)
66/65	26.43157		3u1og1, Thulogu comma	P1¹¹₆₅	winmeanma
65/64	26.84138		3oy1, Thoyo comma	P1⁶⁵	wilsorma, 13th-partial chroma
64/63	27.26409		r1, Ru comma	P1₇	septimal comma, Archytas' comma
3125/3072	29.61357		Ly5-2, Laquinyo comma	dd-2³¹²⁵	magic comma, small diesis ([-10, -1, 5⟩)
50/49	34.97562		rryy-2, Biruyo comma	d-2²⁵₄₉	small septimal diesis, small septimal sixth-tone, septimal tritonic diesis, jubilisma
49/48	35.69681		zz2, Zozo comma	m2⁴⁹	large septimal diesis, large septimal sixth-tone, slendro diesis, semaphoresma
45/44	38.90577		1uy1, Luyo comma	A1⁵₁₁	undecimal 1/5 tone
128/125	41.05886		g32, Trigu comma	d2₁₂₅	diesis, minor diesis, augmented comma, enharmonic comma ([7, 0, -3⟩)
525/512	43.40834		Lzyy1, Lazoyoyo comma	A1¹⁷⁵	Avicenna's enharmonic diesis, avicennma ([-9, 1, 2, 1⟩)
1053/1024	48.34767		L3o1, Latho comma	P1¹³	tridecimal quartertone, tridecimal flattone comma
36/35	48.77038		rg1, Rugu comma	P1₃₅	septimal quarter tone, double comma
250/243	49.16614		y31, Triyo comma	A1¹²⁵	porcupine comma ([1, -5, 3⟩)
59049/57344	50.72410		Lr-2, Laru comma	d-2₇	Harrison's comma ([-13, 10, 0, -1⟩)
100/97	52.73202		97uyy1, ninety-suyoyo unison	A1²⁵₉₇	shrutar quarter tone
33/32	53.27294		1o1, ilo unison	P1¹¹	undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic
648/625	62.56515		g42, quadgu 2nd	d2₆₂₅	diminished comma, major diesis ([8, 4, -4⟩)
28/27	62.96090		z2, zo 2nd	m2⁷	small septimal chroma, septimal third-tone, subminor second, septimal minor second
27/26	65.33734		3u1, thu unison	A1₁₃	small tridecimal third tone
26/25	67.90023		3ogg2, thogugu 2nd	d2¹³₂₅	large tridecimal third tone
25/24	70.67243		yy1, yoyo unison	A1²⁵	chroma, classic chromatic semitone, Zarlinian semitone
24/23	73.68065		23u1, twethu unison	m2₂₃	lesser vicesimotertial semitone
23/22	76.95641		23o1u2, twetholu 2nd	A1²³₁₁	greater vicesimotertial semitone
68/65	78.11403		17o3ug2, sothugu 2nd	m2¹⁷₆₅	valentine semitone
22/21	80.53704		1or1, loru unison	P1¹¹₇	undecimal minor semitone
64/61	83.11520		61u2, siwu 2nd	m2₆₁	harry minor semitone
21/20	84.46719		zg2, zogu 2nd	m2⁷₅	minor semitone, large septimal chroma
20/19	88.80070		19uy1, nuyo unison	A1⁵₁₉	small undevicesimal semitone, undevicesimal chroma, Eratosthenes' semitone
256/243	90.22500		sw2, sawa 2nd	m2	Pythagorean limma, Pythagorean diatonic semitone, Pythagorean minor second ([8, -5⟩)
135/128	92.17872		Ly1, layo unison	A1⁵	major limma ([-7, 3, 1⟩)
19/18	93.60301		19o2, ino 2nd	m2¹⁹	large undevicesimal semitone, undevicesimal limma, Boethius' semitone
18/17	98.95459		17u1, su unison	A1₁₇	small septendecimal semitone, Arabic lute index finger
17/16	104.9554		17o2, iso 2nd	m2¹⁷	large septendecimal semitone, octave-reduced 17th harmonic
16/15	111.7313		g2, gu 2nd	m2₅	classic diatonic semitone, classic minor second, octave-reduced 15th subharmonic
2187/2048	113.6850		Lw1, lawa unison	A1	apotome, Pythagorean chromatic semitone, Pythagorean augmented unison ([-11, 7⟩)
77/72	116.2338		1oz2, lozo 2nd	m2⁷⁷	undecimal secor
15/14	119.4428		ry1, ruyo unison	A1⁵₇	septimal diatonic semitone
14/13	128.2982		3uz2, thuzo 2nd	M2⁷₁₃	tridecimal 2/3-tone, trienthird, tridecimal supraminor second
27/25	133.2376		gg2, gugu 2nd	m2₂₅	large limma
13/12	138.5727		3o2, tho 2nd	m2¹³	tridecimal neutral second, tridecimal 2/3-tone
243/224	140.9491		Lr1, laru unison	A1₇	septimal subtone ([-5, 5, 0, -1⟩)
88/81	143.4980		1o2, ilo 2nd	m2¹¹	undecimal subtone
25/23	144.3531		23uyy1, twethuyoyo unison	M2^5,5₂₃	small vicesimotertial neutral second
49/45	147.4281		zzg3, zozogu 3rd	d3⁴⁹₅	swetismic neutral second
12/11	150.6371		1u2, lu 2nd	M2₁₁	small undecimal neutral second, 3/4-tone
35/32	155.1396		zy2, zoyo 2nd	M2³⁵	septimal neutral second
23/21	157.4934		23or2, twethoru 2nd	A1²³₇	large vicesimotertial neutral second
78/71	162.7861		71u3o2, seventy-wutho 2nd	m2¹³₇₁	porcupine neutral second
11/10	165.0042		1og2, logu 2nd	m2¹¹₅	undecimal submajor second, large undecimal neutral second, 4/5-tone, Ptolemy's second
54/49	168.2132		rr1, ruru unison	A1₄₉	Zalzal's mujannab
21/19	173.2679		19uz2, nuzo 2nd	M2⁷₁₉	large neutral undevicesimal second
10/9	182.4037		y2, yo 2nd	M2⁵	classic (whole) tone, minor (whole) tone
49/44	186.3339		1uzz3, luzozo 3rd	m3⁴⁹₁₁	mothwellsmic major second
39/35	187.3430		3org2, thorugu 2nd	m2¹³₃₅	animist major second
6272/5625	188.4870		szzg⁴4, sabizogugu 4th	ddd4⁴⁹₆₂₅	double marvelous second, double marvelous (whole) tone
19/17	192.5576		19o17u2, nosu 2nd	M2¹⁹₁₇	quasi-meantone
28/25	196.1985		zgg3, zogugu 3rd	d3⁷₂₅	middle major second
55/49	199.9798		1orry1, loruruyo unison	A1⁵⁵₄₉	werckismic tone
64/57	200.5320		19u2, inu 2nd	M2₁₉	quasi-tempered whole tone, octave-reduced 57th subharmonic
9/8	203.9100		w2, wa 2nd	M2	Pythagorean (whole) tone, major (whole) tone, octave-reduced 9th harmonic
26/23	212.2533		23u3o2, twethutho 2nd	d3¹³₂₃	vicesimotertial whole tone
17/15	216.6867		17og3, sogu 3rd	d3¹⁷₅	septendecimal whole tone, septendecimal eventone
25/22	221.3095		1uyy2, luyoyo 2nd	A2²⁵₁₁	ptolemismic whole tone, undecimal acute whole tone
729/640	225.4163		Lg2, lagu 2nd	M2₅	acute whole tone
57/50	226.8406		19ogg3, nogugu 3rd	d3¹⁹₂₅	devichromic supermajor second
8/7	231.1741		r2, ru 2nd	M2₇	supermajor second, septimal whole tone, octave-reduced 7th subharmonic
63/55	235.1043		1uzg3, luzogu 3rd	m3⁷₅₅	werckismic supermajor second
55/48	235.6767		1oy2, loyo 2nd	M2⁵⁵	keenanismic supermajor second
224/195	240.0295		3uzg3, thuzogu 3rd	m3⁷₆₅	quasi-tempered 1/5-octave, "5EDO"-esque tone
23/20	241.9606		23og3, twethogu 3rd	M2²³₅	vicesimotertial inframinor third, vicesimotertial ultramajor second, vicesimotertial semifourth
15/13	247.7411		3uy2, thuyo 2nd	A2⁵₁₃	tridecimal semifourth, tridecimal ultramajor second, tridecimal inframinor third
97/84	249.1145		97or2, ninety-soru 2nd	M2⁹⁷₇	homothetic semifourth
81/70	252.2680		rg2, rugu 2nd	M2₃₅	septimal semi-augmented second, septimal ultramajor second
22/19	253.8049		19u1o2, nulo 2nd	M2¹¹₁₉	undevicesimal semifourth, minimal minor third, godzilla semifourth
64/55	262.3683		1ug3, lugu 3rd	m3₅₅	keenanismic subminor third, octave-reduced 55th subharmonic
7/6	266.8709		z3, zo 3rd	m3⁷	subminor third, septimal minor third
90/77	270.0799		1ury2, luruyo 2nd	A2⁵₇₇	swetismic subminor third
62/53	271.5310		53u31o2, fithu-thiwo 2nd	M2³¹₅₃	orwell subminor third
75/64	274.5824		yy2, yoyo 2nd	A2²⁵	classic augmented second
27/23	277.5907		twethu 2nd, 23u2	m3₂₃	vicesimotertial augmented second
20/17	281.3583		17uy2, suyo 2nd	A2⁵₁₇	septendecimal augmented second, septendecimal minor third, diatismic minor third
13/11	289.2097		3o1u3, tholu 3rd	m3¹³₁₁	tridecimal minor third
45/38	292.7107		19uy2, nuyo 2nd	A2⁵₁₉	Eratosthenes' minor third
32/27	294.1350		w3, wa 3rd	m3	Pythagorean minor third, octave-reduced 27th subharmonic
19/16	297.5130		19o3, ino 3rd	m3¹⁹	otonal minor third, octave-reduced 19th harmonic
289/243	300.1358		17oo4, soso 4th	dd4^{17, 17}	semitonismic quasi-tempered minor third
25/21	301.8465		ryy2, ruyoyo 2nd	A2²⁵₇	quasi-tempered minor third
61/51	309.9744		61o17u2, siwosu 2nd	A2⁶¹₁₇	myna third
6/5	315.6413		g3, gu 3rd	m3₅	classic minor third, just minor third
77/64	320.1438		1oz3, lozo 3rd	m3⁷⁷	keenanismic minor third, octave-reduced 77th harmonic
135/112	323.3528		ry2, ruyo 2nd	A2⁵₇	large septimal minor third, marvelous minor third ([-4, 3, 1, -1⟩)
35/29	325.5624		29uzy3, twenuzoyo 3rd	M3³⁵₂₉	doublewide minor third
23/19	330.7613		23o19u3, twethonu 3rd	A2²³₁₉	vicesimotertial supraminor third
17/14	336.1295		17or3, soru 3rd	m3¹⁷₅	septendecimal supraminor third
175/144	337.5433		zyy3, zoyoyo 3rd	M3^5,5,7	keemic minor third
73/60	339.5208		73og3, seventy-thogu 3rd	m3⁷³₅	amity supraminor third
28/23	340.5516		23uz3, twethuzo 3rd	d4⁷₂₃	vicesimotertial neutral third
39/32	342.4827		3o3, tho 3rd	m3¹³	lesser tridecimal neutral third, octave-reduced 39th harmonic
128/105	342.9054		rg3, rugu 3rd	m3₃₅	quasi-tempered 2/7-octave, 105th subharmonic
625/512	345.2549		Ly⁴2, laquadyo 2nd	AA2⁶²⁵	5-limit neutral third ([-9, 0, 4⟩)
11/9	347.4079		1o3, ilo 3rd	m3¹¹	undecimal neutral third
60/49	350.6169		rry2, ruruyo 2nd	A2⁵₄₉	smaller septimal neutral third, (purple 3rd)
49/40	351.3381		zzg4, zozogu 4th	d4⁴⁹₅	larger septimal neutral third, (purple 3rd)
27/22	354.5471		1u3, lu 3rd	M3₁₁	rastmic neutral third
16/13	359.4723		3u3, thu 3rd	M3₁₃	greater tridecimal neutral third, octave reduced 13subharmonic
21/17	365.8255		17uz3, suzo 3rd	M3⁷₁₇	septendecimal submajor third
26/21	369.7468		thoru 3rd, 3or3	m3¹³₇	tridecimal submajor third
51/41	377.8480		41u17o4, fowuso 4th	d4¹⁷₄₁
56/45	378.6022		zg4, zogu 4th	d4⁷₅	narrow perde segah, marvelous major third
71/57	380.2285		71o19u3, seventy-wonu 3rd	M3⁷¹₁₉	witchcraft major third
76/61	380.6282		61u19o4, siwuno 4th	d4¹⁹₆₁	magic major third
96/77	381.8112		1ur3, luru 3rd	M3₇₇	undecimal perde segah, keenanismic major third
5/4	386.3137		y3, yo 3rd	M3⁵	classic major third, just major third, octave-reduced 5th harmonic
44/35	396.1783		1org3, lorugu 3rd	n3¹¹_5,7	fwiwismic major third
161/128	397.1003		23oz4, twethozo 4th	M3¹⁶¹	just/Pythagorean major third meantone, octave-reduced 161th harmonic
34/27	399.0904		17o4, iso 4th	d4¹⁷	septendecimal quasi-tempered major third
63/50	400.1085		zgg4, zogugu 4th	d4⁷₂₅	quasi-tempered major third
24/19	404.4420		19u3, inu 3rd	M3₁₉	Boethius' major third
81/64	407.8200		Lw3, lawa 3rd	M3	Pythagorean major third, octave-reduced 81st harmonic
19/15	409.2443		19og4, nogu 4th	d4¹⁹₅	Eratosthenes' major third
33/26	412.7453		3u1o3, thulo 3rd	M3¹¹₁₃	tridecimal major third
80/63	413.5778		ry3, ruyo 3rd	M3⁵₇	5/7-kleismic major third
14/11	417.5080		1uz4, luzo 4th	P4⁷₁₁	undecimal major third, undecimal diminished fourth
23/18	424.3643		23o4, twetho 4th	M3²³	vicesimotertial diminished fourth
32/25	427.3726		gg4, gugu 4th	d4₂₅	classic diminished fourth
41/32	429.0624		41o3, fowo 3rd	M3⁴¹	octave-reduced 41st harmonic, quadracesimoprimal supermajor third
77/60	431.8751		1ozg4, lozogu 4th	d4⁷⁷₅	swetismic supermajor third
9/7	435.0841		r3, ru 3rd	M3₇	supermajor third, septimal major third
31/24	443.0806		31o3, thiwo 3rd	M3³¹	sensi supermajor third
22/17	446.3625		17u1o3, sulo 3rd	M3¹¹₁₇	septendecimal supermajor third
35/27	449.2746		zy4, zoyo 4th	P4³⁵	septimal semidiminished fourth
83/64	450.0473		83o4	P4⁸³	octave-reduced 83rd harmonic, octacesimotertial harmonic semisixth
13/10	454.2139		3og4, thogu 4th	d4¹³₅	tridecimal semisixth, Barbados third, tridecimal 9/4 tone
30/23	459.9944		23uy3, twethuyo 3rd	P4⁵₂₃	vicesimotertial ultramajor third
64/49	462.3482		rr3, ruru 3rd	M3₄₉	septatonic major third
17/13	464.4277		17o3u4, sothu 4th	P4¹⁷₁₃	septendecimal sub-fourth
21/16	470.7809		z4, zo 4th	P4⁷	sub-fourth, narrow fourth, 8ve-reduced 21st harmonic
25/19	475.1144		19uyy3, nuyoyo 3rd	A3^5,5₁₉	undevicesimal augmented third, undevicesimal grave fourth
95/72	479.9167		19oy4, noyo 4th	P4^5,19	undevicesimal quasi-tempered 2/5-octave, undevicesimal "5EDO"-esque fourth
128/97	480.1046		97u4	P4₉₇	nonacesimoseptimal subharmonic fourth
33/25	480.6455		1ogg4, logugu 4th	d4¹¹₂₅	ptolemismic fourth, "5EDO"-esque fourth
160/121	483.6778		1uuy4, luluyo 4th	A4⁵_11,11	narrow biyatismic fourth
324/245	483.8545		rrg3, rurugu 3rd	M3_5,7,7	sensamagic fourth
85/64	491.2691		17oy4, soyo 4th	P4⁸⁵	archagall fourth, septendecimal harmonic fourth
117/88	493.1197		3o1u4, tholu 4th	P4¹³₁₁	minthmic fourth ([-3, 2, 0, 0, -1, 1⟩)
4/3	498.0450		w4, wa 4th	P4	just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
171/128	501.4230		19o4, ino 4th	P4¹⁹	undevicesimal harmonic fourth
75/56	505.7565		ryy3, ruyoyo 3rd	A3²⁵₇	marvelous fourth
121/90	512.4122		1oog4, lologu 4th	d4^11,11₅	wide biyatismic fourth
35/26	514.6120		3uzy4, thuzoyo 4th	A4^5,7₁₃	animist fourth
128/95	516.1733		19ug4, nugu 4th	P4_5,19	undevicesimal subharmonic fourth
27/20	519.5513		g4, gu 4th	P4₅	acute fourth, wolf fourth
875/648	519.9470		zy³4, zotriyo 4th	A4^5,5,5,7	maviloid generator superfourth
23/17	523.3189		23o17u4, twethosu 4th	A3²³₁₇	vicesimotertial acute fourth
19/14	528.6871		19or4, noru 4th	P4¹⁹₇	hendrix fourth
34/25	532.3280		17ogg5, sogugu 5th	dd5¹⁷_5,5	vengeance superfourth
49/36	533.7418		zz5, zozo 5th	d5⁴⁹	Arabic lute acute fourth
15/11	536.9508		1uy4, luyo 4th	A4⁵₁₁	sub-augmented fourth, undecimal augmented fourth
26/19	543.0146		19u3o4, nutho 4th	P4¹³₁₉	undevicesimal super-fourth
48/35	546.8154		rg4, rugu 4th	P4₃₅	septimal super-fourth
11/8	551.3179		1o4, ilo 4th	P4¹¹	super-fourth, paramajor fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic, Alphorn-Fa
18/13	563.3823		3u4, thu 4th	A4₁₃	tridecimal augmented fourth
25/18	568.7174		yy4, yoyo 4th	A4²⁵	classic augmented fourth, pental augmented fourth ([-1 -2 2⟩)
32/23	571.7257		23u4, twethu 4th	d5₂₃	vicesimotertial narrow tritone, octave-reduced 23rd subharmonic
88/63	578.5820		1or4, loru 4th	P4¹¹₇	pentacircle diminished fifth
7/5	582.5122		zg5, zogu 5th	d5⁷₅	augmented fourth, septimal tritone, Huygen's tritone
108/77	585.7212		1ur4, luru 4th	A4₇₇	swetismic augmented fourth ([2, 3, 0, -1, -1⟩)
1024/729	588.2700		sw5, sawa 5th	d5	Pytharogean diminished fifth
45/32	590.2237		y4, yo 4th	A4⁵	smaller pental tritone, diatonic tritone ([-5 2 1⟩)
128/91	590.6464		3ur4, thuru 4th	A4₉₁	smaller huntmic tritone, 91st subharmonic
38/27	591.6480		ino 5th, 19o5	d5¹⁹	smaller undevicesimal tritone
55/39	595.1490		3u1oy4, thuloyo 4th	A4⁵⁵₁₃	smaller gassormic tritone
24/17	596.9996		17u4, su 4th	A4₁₇	smaller septendecimal tritone
181/128	599.8151		181o4	A4¹⁸¹	octave-reduced 181st harmonic, otonal quasi-tempered tritone
99/70	600.0883		1org4, lorugu 4th	P4¹¹₃₅	homothetic quasi-tempered tritone
256/181	600.1849		181u5	d5₁₈₁	octave-reduced 181st subharmonic, utonal quasi-tempered tritone
17/12	603.0004		17o5, iso 5th	d5¹⁷	larger septendecimal tritone
78/55	604.8510		3o1ug5, tholugu 5th	d5¹³₅₅	larger gassormic tritone
27/19	608.3520		inu 4th, 19u4	A4₁₉	larger undevicesimal tritone
91/64	609.3536		3oz5, thozo 5th	d5⁹¹	larger huntmic tritone, octave-reduced 91st harmonic
64/45	609.7763		g5, gu 5th	d5₅	larger pental tritone, diatonic tritone ([6 -2 -1⟩)
729/512	611.7300		Lw4, lawa 4th	A4	Pythagorean tritone
10/7	617.4878		ry4, ruyo 4th	A4⁵₇	diminished fifth, Euler's tritone, superaugmented fourth
23/16	628.2743		23o5, twetho 5th	A4²³	vicesimotertial superaugmented fourth, octave-reduced 23rd harmonic
36/25	631.2826		gg5, gugu 5th	d5₂₅	pental diminished fifth, classic diminshed fifth ([2 2 -2⟩)
13/9	636.6177		3o5, tho 5th	d5¹³	tridecimal diminished fifth
16/11	648.6821		1u5, lu 5th	P5₁₁	sub-fifth, paraminor fifth, octave-reduced 11th subharmonic
35/24	653.1846		zy5, zoyo 5th	P5³⁵	septimal sub-fifth
19/13	656.9854		19o3u5, nothu 5th	P5¹⁹₁₃	undevicesimal sub-fifth
22/15	663.0492		1og5, logu 5th	d5¹¹₅	undecimal diminished fifth, semidiminished fifth
72/49	666.2589		rr4, ruru 4th	A4₄₉	septimal catafifth
25/17	667.6720		17uyy4, suyoyo 4th	AA4^5,5₁₇	vengeance subfifth
81/55	670.1883		1ug5, lugu 5th	P5₅₅	undecimal catafifth
28/19	671.3129		19uz5, nuzo 5th	P5⁷₁₉	hendrix fifth
34/23	676.6811		23u17o5, twethuso 5th	d6¹⁷₂₃	vicesimotertial grave fifth
262144/177147	678.4950		sasawa 6th, ssw6	d6	Pythagorean wolf fifth
40/27	680.4487		y5, yo 5th	P5⁵	grave fifth
95/64	683.8267		19oy5, noyo 5th	P5^5,19	undevicesimal harmonic fifth
52/35	685.3880		3org5, thorugu 5th	d5¹³₃₅	animist fifth
180/121	687.5878		1uuy5, luluyo 5th	A5⁵_11,11	narrow biyatismic fifth
112/75	694.2435		zgg6, zogugu 6th	d6⁷₂₅	marvelous fifth
121/81	694.8159		1oo5, lolo 5th	d5^11,11	rastmic fifth, Alpharabian narrow fifth
323/216	696.6034		19o17o6, noso 6th	d6^17,19	undevicesimal meantone fifth
256/171	698.5770		19u5, inu 5th	P5₁₉	undevicesimal subharmonic fifth
16384/10935	700.0013		sg6, sagu 6th	d6₅	Kirnberger's fifth ("12-EDO"-esque fifth)
3/2	701.9550		w5, wa 5th	P5	just perfect fifth, octave-reduced 3rd harmonic, diapente
182/121	706.7177		3o1uuz6, tholuluzo 6th	m6^7,13_11,11	tridecimal gentle fifth ([1, 0, 0, 1, -2, 1⟩)
176/117	706.8803		3u1o5, thulo 5th	P5¹¹₁₃	minthmic fifth ([4, -2, 0, 0, 1, -1⟩)
128/85	708.7309		17ug5, sugu 5th	P5₈₅	archagall fifth, septendecimal subharmonic fifth
245/162	716.1455		zzy6, zozoyo 6th	m6^5,7,7	sensamagic fifth
121/80	716.3222		1oog5, lologu 5th	d5¹²¹₅	wide biyatismic fifth
50/33	719.3545		1uyy5, luyoyo 5th	A5²⁵₁₁	ptolemismic fifth, "5EDO"-esque fifth
97/64	719.8954		97o5	P5⁹⁷	nonacesimoseptimal harmonic fifth
144/95	720.0833		19ug5, nugu 5th	P5_5,19	undevicesimal quasi-tempered 3/5-octave, undevicesimal "5EDO"-esque fifth
38/25	724.8856		19ogg6, nogugu 6th	d6¹⁹_5,5	undevicesimal diminished sixth, undevicesimal acute fifth
32/21	729.2191		r5, ru 5th	P5₇	super-fifth, wide fifth, octave-reduced 21st subharmonic
26/17	735.5723		17u3o5, sutho 5th	P5¹³₁₇	septendecimal super-fifth
49/32	737.6518		zz6, zozo 6th	m6⁴⁹	superduper fifth, octave-reduced 49th harmonic
23/15	740.0056		23og6, twethogu 6th	P5²³₅	vicesimotertial ultraminor sixth
20/13	745.7861		3uy5, thuyo 5th	A5⁵₁₃	tridecimal semitenth, Barbados sixth, ratwolf wolf fifth
128/83	749.9527		83u5	P5₈₃	83rd subharmonic, octacesimotertial subharmonic semitenth
17/11	753.6375		17o1u6, solu 6th	m6¹⁷₁₁	septendecimal subminor sixth
14/9	764.9159		z6, zo 6th	m6⁷	subminor sixth, septimal minor sixth
25/16	772.6274		yy5, yoyo 5th	A5²⁵	pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic
36/23	775.6357		23u5, twethu 5th	m6₂₃	vicesimotertial augmented fifth
11/7	782.4920		1or5, loru 5th	P5¹¹₇	undecimal subminor sixth, undecimal augmented fifth
63/40	786.4222		zg6, zogu 6th	m6⁷₅	narrow minor sixth
52/33	787.2547		3o1u6, tholu 6th	m6¹³₁₁	tridecimal minor sixth
30/19	790.7557		19uy5, nuyo 5th	A5⁵₁₉	small undevicesimal minor sixth, Eratosthenes' minor sixth
128/81	792.1800		sw6, sawa 6th	m6	Pythagorean minor sixth, octave-reduced 81st subharmonic
19/12	795.5580		19o6, ino 6th	m6¹⁹	large undevicesimal minor sixth, Boethius' minor sixth
27/17	800.9096		17u5, su 5th	A5₁₇	septendecimal quasi-tempered minor sixth
35/22	803.8217		1uzy6, luzoyo 6th	n6^5,7₁₁	fwiwismic minor sixth
8/5	813.6863		g6, gu 6th	m6₅	classic minor sixth, just minor sixth, octave-reduced 5th subharmonic
21/13	830.2532		3uz6, thuzo 6th	M6⁷₁₃	tridecimal supraminor sixth
34/21	834.1745		17or6, soru 6th	m6¹⁷₇	septendecimal supraminor sixth
13/8	840.5277		3o6, tho 6th	m6¹³	lesser tridecimal neutral sixth, octave-reduced 13th harmonic
80/49	848.6619		rry5, ruruyo aug 5th	A5⁵₄₉	(purple 6th)
49/30	849.3832		zzg7, zozogu 7th	d7⁴⁹₅	(purple 6th)
18/11	852.5921		1u6, lu 6th	M6₁₁	undecimal neutral sixth
105/64	857.0946		zy6, zoyo 6th	M6³⁵	quasi-tempered 5/7-octave, octave-reduced 105th harmonic
23/14	859.4484		23or6, twethoru 6th	A5²³₇	vicesimotertial neutral sixth
28/17	863.8705		17uz6, suzo 6th	M6⁷₁₇	septendecimal submajor sixth
38/23	869.2387		23u19o6, twethuno 6th	d7¹⁹₂₃	vicesimotertial submajor sixth
5/3	884.3587		y6, yo 6th	M6⁵	classic major sixth, just major sixth
42/25	898.1535		zgg7, zogugu 7th	d7⁷₂₅	quasi-tempered major sixth
486/289	899.8642		17uu5, susu 5th	AA5_{17, 17}	semitonismic quasi-tempered major sixth
32/19	902.4870		19u6, inu 6th	M6₁₉	utonal major sixth, octave-reduced 19th subharmonic
27/16	905.8650		w6, wa 6th	M6	Pythagorean major sixth, octave-reduced 27th harmonic
76/45	907.2893		19og7, nogu 7th	d7¹⁹₅	Eratosthenes' major sixth
22/13	910.7908		3u1o6, thulo 6th	M6¹¹₁₃	tridecimal major sixth
17/10	918.6417		17og7, sogu 7th	d7¹⁷₅	septendecimal diminished seventh, septendecimal major sixth, diatismic major sixth
46/27	922.4093		twetho 7th, 23o7	M6²³	vicesimotertial diminished seventh, vicesiomtertial supermajor sixth
12/7	933.1291		r6, ru 6th	M6₇	supermajor sixth, septimal major sixth
55/32	937.6317		1oy6, loyo 6th	M6⁵⁵	keenanismic supermajor sixth, octave-reduced 55th harmonic
19/11	946.1951		19o1u7, nolu 7th	m7¹⁹₁₁	undevicesimal semitwelfth, maximal major sixth
140/81	947.3196		zy7, zoyo 7th	m7³⁵	septimal semidiminished seventh, septimal inframinor seventh
97/56	951.0695		97or6, ninety-soru 6th	M6⁹⁷₇	homothetic semitwelth
26/15	952.2589		3og7, thogu 7th	d7¹³₅	tridecimal semitwelfth
40/23	958.0394		23uy6, twethuyo 6th	m7⁵₂₃	vicesimotertial ultramajor sixth, vicesimotertial inframinor seventh, vicesimotertial semitwelfth
7/4	968.8259		z7, zo 7th	m7⁷	subminor seventh, septimal minor seventh, harmonic seventh, natural seventh, octave-reduced 7th harmonic
225/128	976.5374		Lyy6, layoyo 6th	A6²⁵	marvel five-limit harmonic seventh, octave-reduced 225th harmonic ([-7, 2, 2⟩)
44/25	978.6905		1ogg7, logugu 7th	d7¹¹_5,5	ptolemismic minor seventh, undecimal grave minor seventh
30/17	983.3133		17uy6, suyo 6th	A6⁵₁₇	septendecimal minor seventh
23/13	987.7467		23o3u7, twethothu 7th	A6²³₁₃	vicesimotertial minor seventh
71/40	993.3828		71oy7	m7⁷¹₅	harmonic/just minor seventh meantone
16/9	996.0900		w7, wa 7th	m7	Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
57/32	999.4680		19o7, ino 7th	m7¹⁹	quasi-tempered minor seventh, octave-reduced 57th harmonic
25/14	1003.802		ryy6, ruyoyo 6th	A6²⁵₇	middle minor seventh
34/19	1007.442		19u17o7, nuso 7th	m7¹⁷₁₉	quasi-meantone minor seventh
9/5	1017.596		g5, gu 7th	m7₅	classic minor seventh, large minor seventh
38/21	1026.732		19or7, noru 7th	m7¹⁹₇	minor neutral undevicesimal seventh
29/16	1029.577		29o7, tweno 7th	m7²⁹	vicesimononal supraminor seventh, octave-reduced 29th harmonic
20/11	1034.996		1uy7, luyo 7th	M7⁵₁₁	undecimal supraminor seventh, small undecimal neutral seventh
42/23	1042.507		23uz7, twethuzo 7th	d8⁷₂₃	small vicesimotertial neutral seventh
64/35	1044.860		rg7, rugu 7th	m7₃₅	septimal neutral seventh
11/6	1049.363		1o7, ilo 7th	m7¹¹	undecimal neutral seventh, 21/4-tone
46/25	1055.647		twethogugu octave, 23ogg8	m7²³_5,5	large vicesimotertial neutral seventh
24/13	1061.427		3u7, thu 7th	M7₁₃	tridecimal neutral seventh
50/27	1066.762		yoyo 7th, yy7	M7^5,5	grave major seventh
13/7	1071.702		3or7, thoru 7th	m7¹³₇	tridecimal submajor seventh, 16/3-tone
28/15	1080.557		zg8, zogu octave	d8⁷₅	grave major seventh, octave minus a ruyo aug unison
15/8	1088.269		y7, yo 7th	M7⁵	classic major seventh, just major seventh, octave-reduced 15th harmonic
32/17	1095.045		17u7, su 7th	M7₁₇	septendecimal major seventh (FJS), septendecimal diminished octave (HEJI), octave-reduced 17th subharmonic
17/9	1101.045		17o8, iso octave	d8¹⁷	septendecimal major seventh (HEJI), septendecimal diminished octave (FJS)
36/19	1106.397		19u7, inu 7th	M7₁₉	undevicesimal major seventh, Boethius' major seventh
243/128	1109.775		Lw7, lawa 7th	M7	Pythagorean major seventh, octave-reduced 243rd harmonic
19/10	1111.199		19og8, nogu 8ve	d8¹⁹₅	undevicesimal diminished octave, Eratosthenes' major seventh
40/21	1115.533		ry7, ruyo 7th	M7⁵₇	septimal acute major seventh
61/32	1116.885		61o7, siwo 7th	M7⁶¹	octave-reduced 61st harmonic
21/11	1119.463		1uz8, luzo 8ve	P8⁷₁₁	large undecimal diminished octave, undecimal major seventh
44/23	1123.044		23u1o7, twethulo 7th	d8¹¹₂₃	small vicesimotertial major seventh
23/12	1126.319		23o8, twetho 8ve	M7²³	large vicesimotertial major seventh
48/25	1129.328		gg8, gugu octave	d8₂₅	classic diminished octave
25/13	1132.100		3uyy7, thuyoyo 7th	A7^5,5₁₃	lesser tridecimal diminished octave
27/14	1137.039		r7, ru 7th	M7₇	supermajor seventh, septimal major seventh
31/16	1145.036		31o7, thiwo 7th	M7³¹	tricesimoprimal ultramajor seventh (FJS), tricesimoprimal semidiminished octave (HEJI), octave-reduced 31st harmonic
64/33	1146.727		1u8, lu octave	P8₁₁	undecimal semidiminished octave, octave-reduced 33rd subharmonic
35/18	1151.240		zy8, zoyo octave	P8³⁵	septimal semidiminished octave
96/49	1164.303		rr7, ruru 7th	M7₄₉	septimal ultramajor seventh
49/25	1165.024		zzgg9, bizogu 9th	d9⁴⁹₂₅	BP eighth
63/32	1172.736		z8, zo octave	P8⁷	septimal suboctave, octave-reduced 63rd harmonic
160/81	1178.494		y8, yo octave	P8⁵	syntonic suboctave
255/128	1193.224		17oy8, soyo octave	P8⁸⁵	charismic suboctave, octave-reduced 255th harmonic
2/1	1200.000		w8, wa octave	P8	octave, diapason

Notes

↑ The Sagittal column shows a pitch-class-sensitive Athenian Evo notation with 1/1 = C. A white notehead  indicates exact notation while black  indicates approximation (typically within 2 ¢).
↑ If any FJS names are missing, please add them.

Intervals larger than an octave

Frequency Ratio	Cents Value (7 sig. dig.)	Sagittal notation	Color Name		FJS Name	Some common names
27/13	1265.337	^{[note 1]} 	3u8	thu8ve ^{[note 2]}	A8₁₃ ^{[note 3]}	Luxembourg eighth
23/11	1276.956		23o1u9	twetholu 9th	A8²³₁₁	vicesimotertial minor ninth
19/9	1293.603		19o9	ino 9th	m9¹⁹	undevicesimal minor ninth
17/8	1304.955		17o9	iso 9th	m9¹⁷	septendecimal minor ninth
32/15	1311.731		g9	gu 9th	m9₅	classic minor ninth
15/7	1319.443		ry8	ruyo 8ve	A8⁵₇	septimal minor ninth
13/6	1338.573		3o9	tho 9th	m9¹³	tridecimal minor ninth, tridecimal neutral ninth
11/5	1365.004		1o9	ilo 9th	m9¹¹₅	neutral ninth
20/9	1382.404		y9	yo 9th	M9⁵	Ptolemaic ninth
9/4	1403.910		w9	wa 9th	M9	major ninth
25/11	1421.309		1uyy9	luyoyo 9th	A9²⁵₁₁	undecimal major ninth
16/7	1431.174		r9	ru 9th	M9₇	septimal major ninth
7/3	1466.871		z10	zo 10th	m10⁷	septimal minor tenth
19/8	1497.513		19o3	ino 10th		undevicesimal minor tenth
12/5	1515.641		g10	gu 10th	m10₅	classic minor tenth
17/7	1536.130		17or10	soru 10th	m10¹⁷₇	septendecimal minor tenth
27/11	1554.547		c1u3	colu 3rd	M10₁₁	rastmic neutral tenth
5/2	1586.314		y10	yo 10th	M10⁵	classic major tenth
18/7	1635.084		r10	ru 10th		septimal supermajor tenth
13/5	1654.214		3og11	thogu 11th	d11¹³₅	tridecimal eleventh
21/8	1670.781		z11	zo 11th		septimal subeleventh
8/3	1698.045		w11, cw4	wa 11th, cowa 4th	P11	perfect eleventh
19/7	1728.687		19or11	noru 11th		undevicesimal supereleventh
11/4	1751.318		1o11, c1o4	ilo 11th, colo 4th	P11¹¹	undecimal semi-augmented eleventh
14/5	1782.512		zg12, czg5	zogu 12th, cozogu 5th	d12⁷₅	short septimal navatone
17/6	1803.000		17o12	iso 12th	d12¹⁷	septendecimal navatone
20/7	1817.488		ry11	ruyo 11th	A11⁵₇	tall septimal navatone
23/8	1828.274		23o12	twetho 12th	A11²³	trivigintal navatone
35/12	1853.185		zy12, czy5	zoyo 12th, cozoyo 5th		septimal semi-diminished twelfth
3/1	1901.955		w12, cw5	wa 12th, cowa 5th	P12	3rd harmonic, perfect twelfth, tritave
28/9	1964.916		z13, cz6	zo 13th, cozo 6th		septimal subminor thirteenth
19/6	1995.558		19o13, c19o6	ino 13th, cono 6th		undevicesimal minor thirteenth
16/5	2013.686		g13, cg6	gu 13th, cogu 6th	m13₅	classic minor thirteenth
13/4	2040.528		3o13, c3o6	tho 13th, cotho 6th	m13¹³	tridecimal neutral thirteenth
23/7	2059.448		c23or13, c23or6	cotwethoru 6th		trivigintal neutral/submajor thirteenth
10/3	2084.359		y13, cy6	yo 13th, coyo 6th	M13⁵	just/classic(al)/ptolemaic major thirteenth
17/5	2118.642		c17og7	cosogu 7th	d14¹⁷₅	septendecimal major thirteenth
24/7	2133.129		r13, cr6	ru 13th, coru 6th		septimal supermajor thirteenth
7/2	2168.826		cz7	cozo 7th	m14⁷	harmonic fourteenth
32/9	2196.090		cw7	cowa 7th		3-limit minor fourteenth
18/5	2217.596		cg7	cogu 7th	m14₅	5-limit minor fourteenth
11/3	2249.363		c1o7	colo 7th	m14¹¹	undecimal neutral fourteenth
15/4	2288.269		cy7	coyo 7th	M14⁵	just/classic(al)/ptolemaic major fourteenth
19/5	2311.199		c19og8	nogu double 8ve		undevicesimal major fourteenth
35/9	2351.230		czy8	zoyo double 8ve		septimal semi-augmented fourteenth
4/1	2400.000		cw8, ccw1	wa double 8ve	P15	4th harmonic, two octaves, just double octave
81/20	2421.506		cg8, ccg1	gu double 8ve	P15₅	syntonic double octave
25/6	2470.672		cyy8, ccyy1	yoyo double 8ve		classic chromatic minor sixteenth
17/4	2504.955		c17o9, cc17o2	coso 9th, cocoso 2nd	m16¹⁷	septendecimal minor sixteenth
64/15	2511.731		cg9, ccg2	cogu 9th, cocogu 2nd	m16₅	classic minor sixteenth
13/3	2538.573		c3o9, cc3o2	cotho 9th, cocotho 2nd	m16¹³	tridecimal minor sixteenth
22/5	2565.004		c1og9, cc1og2	coco-logu 2nd		large undecimal neutral sixteenth
9/2	2603.910		cw9, ccw2	cowa 9th, cocowa 2nd	M16	classic large major sixteenth
23/5	2641.961		cc23og3	coco-twethogu 3rd		trivigintal supermajor sixteenth
14/3	2666.871		ccz3	cocozo 3rd	m17⁷	septimal subminor seventeenth
19/4	2696.513		cc19o3	cocono 3rd		undevicesimal minor seventeenth
24/5	2715.641		ccg3	cocogu 3rd		classic minor seventeenth
44/9	2747.408		cc1o3	cocolo 3rd		undecimal neutral seventeenth
5/1	2786.314		ccy3	cocoyo 3rd	M17⁵	5th harmonic, pentave
36/7	2835.084		ccr3	cocoru 3rd		septimal supermajor seventeenth
21/4	2870.781		ccz4	cocozo 4th		septimal subeighteenth
16/3	2898.045		ccw4	cocowa 4th	P18	perfect eighteenth
27/5	2919.551		ccg4	cocogu 4th		5-limit supereighteenth
11/2	2951.318		cc1o4	cocolo 4th	P18¹¹	undecimal semi-augmented eighteenth
28/5	2982.512		cczg5	coco-zogu 5th	d19⁷₅	short septimal panchadashatone
45/8	2990.224		ccy4	cocoyo 4th	A18⁵	quinquadragintimal panchadashatone
17/3	3003.000		cc17o5	cocoso 5th	d19¹⁷	septendecimal panchadasatone
40/7	3017.488		ccry4	coco-ruyo 4th	A18⁵₇	tall septimal panchadashatone
23/4	3028.274		cc23o5	coco-twetho 5th		vicesimotertial panchadashatone
35/6	3053.185		cczy5	coco-zoyo 5th		septimal semi-diminished nineteenth
6/1	3101.955		ccw5	cocowa 5th	P19	6th harmonic
55/9	3133.722		cc1og5	coco-logu 5th		undecimal superninteenth
25/4	3172.627		ccyy5	coco-yoyo 5th		5-limit subminor twentieth
19/3	3195.558		cc19o6	cocono 6th		undevicesimal minor twentieth
32/5	3213.686		ccg6	cocogu 6th		classic minor twentieth
13/2	3240.528		cc3o6	cocotho 6th	m20¹³	tridecimal neutral twentieth
20/3	3284.359		ccy6	cocoyo 6th		classic major twentieth
48/7	3333.129		ccr6	cocoru 6th		septimal supermajor twentieth
7/1	3368.826		ccz7	cocozo 7th	m21⁷	7th harmonic
36/5	3417.596		ccg7	cocogu 7th		5-limit minor twentyfirst
22/3	3449.363		cc1o7	cocolo 7th		undecimal neutral twentyfirst
15/2	3488.269		ccy7	cocoyo 7th	M21⁵	just/classic(al)/ptolemaic major twentyfirst
23/3	3526.319		c³23o1	twetho triple 8ve		vicesimotertial supermajor twentyfirst
31/4	3545.036		c³31o1	thiwo triple 8ve		31-limit semi-augmented twentyfirst
8/1	3600.000		c³w1	wa triple 8ve	P22	8th harmonic, three octaves
33/4	3653.273		c³1o1	ilo triple 8ve		undecimal semi-diminished twentythird
25/3	3670.672		c³yy1	yoyo triple 8ve		classic chromatic twentythird
17/2	3704.955		c³17o2	tricoso 2nd		septendecimal minor twentythird
128/15	3711.731		c³g2	tricogu 2nd	m23₅	classic minor twenty-third
26/3	3738.573		c³3o2	tricotho 2nd		tridecimal neutral twentythird
35/4	3755.140		c³zy2	trico-zoyo 2nd		septimal neutral twentythird
9/1	3803.910		c³w2	tricowa 2nd	M23	9th harmonic
10/1	3986.314		c³y3	tricoyo 3rd	M24⁵	10th harmonic, decade
11/1	4151.318		c³1o4	tricolo 4th	P25¹¹	11th harmonic
12/1	4301.955		c³w5	tricowa 5th	P26	12th harmonic
13/1	4440.528		c³3o6	tricotho 6th	m27¹³	13th harmonic
14/1	4568.826		c³z7	tricozo 7th	m28⁷	14th harmonic
15/1	4688.269		c³y7	tricoyo 7th	M28⁵	15th harmonic
16/1	4800.000		c⁴w1	wa quadruple 8ve	P29	16th harmonic, four octaves
17/1	4904.955		c⁴17o2	quadcoso 2nd	m30¹⁷	17th harmonic
256/15	4911.731		c⁴g2	quadcogu 2nd	m30₅	classic minor thirtieth
18/1	5004.910		c⁴w2	quadcowa 2nd	M30	18th harmonic
19/1	5097.513		c⁴19o3	quadcono 3rd	m31¹⁹	19th harmonic
20/1	5186.314		c⁴y3	quadcoyo 3rd	M31⁵	20th harmonic
21/1	5270.781		c⁴z4	quadcozo 4th	P32⁷	21st harmonic
22/1	5351.318		c⁴1o4	quadcolo 4th	P32¹¹	22nd harmonic
23/1	5428.274		c⁴23o5	quadco-twetho 5th	A32²³	23rd harmonic
24/1	5501.955		c⁴w5	quadcowa 5th	P33	24th harmonic
25/1	5572.617		c⁴yy5	quadco-yoyo 5th	A33^5,5	25th harmonic
27/1	5705.865		c⁴w6	quadcowa 6th	M34	27th harmonic
29/1	5829.577		c⁴29o7	quadco-tweno 7th	m35²⁹	29th harmonic
31/1	5945.036		c⁴31o7	quadco-thiwo 7th	M35³¹	31st harmonic
49/1	6737.652		c⁵zz6	quinco-zozo 6th	M41^7,7	49th harmonic

Notes

↑ The Sagittal column shows a pitch-class-sensitive Athenian Evo notation with 1/1 = C. A white notehead  indicates exact notation while black  indicates approximation (typically within 2 ¢).
↑ In the color names, "co" or "c" stands for compound, a conventional music term.
↑ If any FJS names are missing, please add them.

[1] The Sagittal column shows a pitch-class-sensitive Athenian Evo notation with 1/1 = C. A white notehead  indicates exact notation while black  indicates approximation (typically within 2 ¢).

[2] If any FJS names are missing, please add them.

[3] The Sagittal column shows a pitch-class-sensitive Athenian Evo notation with 1/1 = C. A white notehead  indicates exact notation while black  indicates approximation (typically within 2 ¢).

[4] In the color names, "co" or "c" stands for compound, a conventional music term.

[5] If any FJS names are missing, please add them.

[note 1]

[note 2]

[note 1]

[note 2]

[note 3]