Introduction

In just intonation, a musical interval is specified as a ratio of two frequencies.. When two (or more) pitches are sounded that are in simple proportions to one another, there is a "fusing" quality to the sound which is often described as pleasing; hence the interest in tuning the pitches of musical systems according to such proportions. There is much debate as to what "consonance" means in a musical system, but in Just Intonation, it is generally assumed that lower numbers in frequency ratios lead to greater consonance. In the actual performance of a piece of music, the number of factors involved are enormous, and it is not often helpful to reduce a musical experience to a one-dimensional description of "consonance versus dissonance." Hence the need for this gallery, to give life to conversation about what an interval means beyond the numerical description: "5/3" or "21/16" or what have you.

What follows is a Gallery of Just Intervals in ascending order from 1/1 to 2/1 and beyond. No such list could possibly be complete (as there are infinite possible ratios), so please add intervals of interest as you see fit. Any rational interval is welcome, as long as the wiki author has some interest in it. Contributions to an interval's lore could include: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords or compositions that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. If your contribution is unconventional, feel free to sign your name to it.

This page lists links to dedicated pages for each interval.

Explanation of the color names is here.

Gallery of Just Intervals

Many of the FJS names are still missing, please add them.

frequency ratio	cents value (six decimal places)	color notation	FJS name	some common names
1/1	0	w1, wa unison	P1	unity, perfect prime, Tonic
32805/32768	1.953721	Ly-2, layo comma	d-2⁵	schisma, [-15, 8, 1⟩
225/224	7.711523	ryy-2, ruyoyo comma	d-2²⁵₇	septimal subcomma, marvel comma, [-5, 2, 2, -1⟩
126/125	13.794767	zg32, zotrigu comma	d2⁷₁₂₅	septimal semicomma, starling comma, [1, 2, -3, 1⟩
100/99	17.399484	1uyy1, luyoyo comma	A1²⁵₁₁	Ptolemy's comma
99/98	17.576131	1orr-2, loruru comma	m-2¹¹₄₉	Mothwellsma
2048/2025	19.552569	sgg2, sagugu comma	d2₂₅	Diaschisma, [11, -4, -2⟩
81/80	21.506286	g1, gu comma	P1₅	Meantone comma, Syntonic comma, Didymus comma
531441/524288	23.460010	LLw-2, wa comma	d-2	Pythagorean comma, Ditonic comma, [-19, 12⟩
66/65	26.431568	3u1og1, thulogu comma	P1¹¹₆₅	Winmeanma
65/64	26.841376	3oy1, thoyo comma	P1⁶⁵	Wilsorma, 13th-partial chroma
64/63	27.264092	r1, ru comma	P1₇	Septimal comma, Archytas' comma
3125/3072	29.613568	Ly5-2, laquinyo comma	dd-2³¹²⁵	Magic comma, small diesis, [-10, -1, 5⟩
50/49	34.975615	rryy-2, biruyo comma	d-2²⁵₄₉	septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis
49/48	35.696812	zz2, zozo comma	m2⁴⁹	large septimal diesis, slendro diesis
45/44	38.905773	1uy1, luyo comma	A1⁵₁₁	undecimal 1/5th tone
128/125	41.058858	g32, trigu comma	d2₁₂₅	Diesis, minor diesis, augmented comma, enharmonic comma, [7, 0, -3⟩
525/512	43.408335	Lzyy1, lazoyoyo comma	A1⁵²⁵	Avicenna's enharmonic diesis, [-9, 1, 2, 1⟩
1053/1024	48.347665	L3o1, latho comma	P1¹³	tridecimal comma
36/35	48.770381	rg1, rugu comma	P1₃₅	double comma, septimal quarter tone
250/243	49.166137	y31, triyo comma	A1¹²⁵	Porcupine comma, [1, -5, 3⟩
59049/57344	50.724102	Lr-2, laru comma	d-2₇	Harrison's comma, [-13, 10, 0, -1⟩
100/97	52.732017	97uyy1, ninety-suyoyo unison	A1²⁵₉₇	shrutar quarter tone
33/32	53.272943	1o1, ilo unison	P1¹¹	undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic
648/625	62.565148	g42, quadgu 2nd	d2₆₂₅	diminished comma, major diesis, [8, 4, -4⟩
28/27	62.960904	z2, zo 2nd	m2⁷	septimal chroma, small septimal chromatic semitone, subminor second, septimal minor second
27/26	65.337341	3u1, thu unison	A1₁₃	small tridecimal third tone
26/25	67.900234	3ogg2, thogugu 2nd	d2¹³₂₅	large tridecimal third tone
25/24	70.672427	yy1, yoyo unison	A1²⁵	chroma, classic chromatic semitone, Zarlinian semitone
24/23	73.680654	23u1, twenty-thu unison		lesser vicesimotertial semitone
68/65	78.114034	17o3ug2, sothugu 2nd	m2¹⁷₆₅	valentine semitone
22/21	80.537035	1or1, loru unison	P1¹¹₇	undecimal minor semitone
64/61	83.115195	61u2, sixty-wu 2nd	m2₆₁	harry minor semitone
21/20	84.467193	zg2, zogu 2nd	m2⁷₅	minor semitone, large septimal chromatic semitone
20/19	88.800698	19uy1, nuyo unison	A1⁵₁₉	small undevicesimal limma, small undevicesimal semitone
256/243	90.224996	sw2, small wa 2nd	m2	Pythagorean limma, Pythagorean diatonic semitone, Pythagorean minor second, [8, -5⟩
135/128	92.178716	Ly1, layo unison	A1⁵	major limma, [-7, 3, 1⟩
19/18	93.603014	19o2, ino 2nd	m2¹⁹	large undevicesimal limma, large undevicesimal semitone
18/17	98.954592	17u1, su unison	A1₁₇	small septendecimal semitone, Arabic lute index finger
17/16	104.955410	17o2, iso 2nd	m2¹⁷	large septendecimal semitone, octave-reduced 17th harmonic
16/15	111.731285	g2, gu 2nd	m2₅	diatonic semitone, classic minor second, octave-reduced 15th subharmonic
2187/2048	113.685006	Lw1, large wa unison	A1	apotome, Pythagorean chromatic semitone, Pythagorean augmented unison, [-11, 7⟩
77/72	116.233847	1oz2, lozo 2nd		undecimal secor
15/14	119.442808	ry1, ruyo unison	A1⁵₇	septimal diatonic semitone
14/13	128.298245	3uz2, thuzo 2nd		tridecimal 2/3-tone, trienthird, tridecimal supraminor second
27/25	133.237575	gg2, gugu 2nd	m2₂₅	large limma
13/12	138.572661	3o2, tho 2nd		tridecimal subtone, tridecimal 2/3-tone
243/224	140.949098	Lr1, large ru unison	A1₇	septimal subtone, [-5, 5, 0, -1⟩
88/81	143.497939	1o2, ilo 2nd		undecimal subtone
49/45	147.428097	zzg3, zozogu 3rd		swetismic neutral second
12/11	150.637059	1u2, lu 2nd	M2₁₁	small undecimal neutral second, 3/4-tone
35/32	155.139620	zy2, zoyo 2nd	M2³⁵	septimal neutral second
78/71	162.786119	71u3o2, seventy-wutho 2nd		porcupine neutral second
11/10	165.004228	1og2, logu 2nd	m2¹¹₅	large undecimal neutral second, 4/5-tone, Ptolemy's second
54/49	168.213190	rr1, ruru unison		Zalzal's mujannab
10/9	182.403712	y2, yo 2nd	M2⁵	minor whole tone
49/44	186.333871	1uzz3, luzozo 3rd		werckismic minor second
6272/5625	188.486956	szzg⁴4, small bizogugu 4th	ddd4⁴⁹₆₂₅	marvelous second, marvelous (whole) tone
19/17	192.557607	19o17u2, nosu 2nd		quasi-meantone
28/25	196.198479	zgg3, zogugu 3rd		middle major second
55/49	199.979843	1orry1, loruruyo unison		werckismic tone
64/57	200.531983	19u2, inu 2nd		quasi-tempered whole tone, octave-reduced 57th subharmonic
9/8	203.910002	w2, wa 2nd	M2	major whole tone, Pythagorean tone, octave-reduced 9th harmonic
17/15	216.686695	17og3, sogu 3rd		septendecimal whole tone, septendecimal eventone
8/7	231.174094	r2, ru 2nd	M2₇	supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic
63/55	235.104252	1uzg3, luzogu 3rd		werckismic supermajor second
55/48	235.676655	1oy2, loyo 2nd		keenanismic supermajor second
15/13	247.741053	3uy2, thuyo 2nd	A2⁵₁₃	semifourth, tridecimal ultramajor second, tridecimal inframinor third
97/84	249.114503	97or2, ninety-soru 2nd	M2⁹⁷₇	homothetic semifourth
81/70	252.268038	rg2, rugu 2nd	M2₃₅	septimal semiaugmented second, septimal ultramajor second
22/19	253.804926	19u1o2, nulo 2nd	M2¹¹₁₉	minimal minor third, godzilla third
64/55	262.368344	1ug3, lugu 3rd		keenanismic subminor third, octave-reduced 55th subharmonic
7/6	266.870906	z3, zo 3rd	m3⁷	subminor third, septimal minor third, augmented second
90/77	270.079867	1ury2, luruyo 2nd		swetismic subminor third
62/53	271.531027	53u31o2, fifty-thu-thirty-wo 2nd		orwell subminor third
75/64	274.582429	yy2, yoyo 2nd	A2²⁵	classic augmented second
20/17	281.358304	17uy2, suyo 2nd		septendecimal augmented second, septendecimal minor third
13/11	289.209179	3o1u3, tholu 3rd		tridecimal minor third
32/27	294.134997	w3, wa 3rd	m3	Pythagorean minor third, octave-reduced 27th subharmonic
19/16	297.513016	19o3, ino 3rd	m3¹⁹	otonal minor third, octave-reduced 19th harmonic
25/21	301.846520	ryy2, ruyoyo 2nd	A2²⁵₇	quasi-tempered minor third
61/51	309.974395	61o17u2, sixty-wosu 2nd		myna third
6/5	315.641287	g3, gu 3rd	m3₅	minor third, pental minor third
77/64	320.143849	1oz3, lozo 3rd		keenanismic minor third, octave-reduced 77th harmonic
135/112	323.352810	ry2, ruyo 2nd		large septimal minor third, marvelous minor third, [-4, 3, 1, -1⟩
35/29	325.562426	29uzy3, twenty-nuzoyo 3rd		doublewide minor third
23/19	330.761331	23o19u3, twenty-thonu 3rd		vicesimotertial supraminor third
17/14	336.129503	17or3, soru 3rd		septendecimal supraminor third
73/60	339.520756	73og3, seventy-thogu 3rd		amity supraminor third
39/32	342.482663	3o3, tho 3rd	m3¹³	octave-reduced 39th harmonic
625/512	345.254855	Ly42, large quadyo 2nd	AA2⁶²⁵	5-limit neutral third, [-9, 0, 4⟩
11/9	347.407941	1o3, ilo 3rd	m3¹¹	undecimal neutral third
60/49	350.616902	rry2, ruruyo 2nd		smaller septimal neutral third, (purple 3rd)
49/40	351.338099	zzg4, zozogu 4th		larger septimal neutral third, (purple 3rd)
27/22	354.547060	1u3, lu 3rd	M3₁₁	rastmic neutral third
16/13	359.472338	3u3, thu 3rd	M3₁₃	tridecimal neutral third
21/17	365.825498	17uz3, suzo 3rd		septendecimal submajor third
51/41	377.848005	41u17o4, forty-wuso 4th		maja third
56/45	378.602191	zg4, zogu 4th		narrow perde segah, marvelous major third
71/57	380.228526	71o19u3, seventy-wonu 3rd		witchcraft major third
76/61	380.628211	61u19o4, sixty-wuno 4th		magic major third
96/77	381.811152	1ur3, luru 3rd		undecimal perde segah, keenanismic major third
5/4	386.313714	y3, yo 3rd	M3⁵	major third, octave-reduced 5th harmonic, pental major third
161/128	397.100254	23oz4	M3^7,23	just/Pythagorean major third meantone, octave-reduced 161th harmonic
63/50	400.108480	zgg4, zogugu 4th	d4⁷₂₅	quasi-tempered major third
81/64	407.820003	Lw3, large wa 3rd	M3	Pythagorean major third, octave-reduced 81st harmonic
80/63	413.577806	ry3, ruyo 3rd		werckismic sharp major third
14/11	417.507964	1uz4, luzo 4th	P4⁷₁₁	undecimal major third, undecimal diminished fourth
32/25	427.372572	gg4, gugu 4th		classic diminished fourth
77/60	431.875134	1ozg4, lozogu 4th		swetismic supermajor third
9/7	435.084095	r3, ru 3rd	M3₇	supermajor third, septimal major third, septimal diminished fourth
31/24	443.080572	31o3, thirty-wo 3rd		sensi supermajor third
22/17	446.362533	17u1o3, sulo 3rd		septendecimal supermajor third
35/27	449.274618	zy4, zoyo 4th		semi-diminished fourth
13/10	454.213948	3og4, thogu 4th	d4¹³₅	Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramaor third
64/49	462.348187	rr3, ruru 3rd	M3₄₉	septatonic major third
17/13	464.427748	17o3u4, sothu 4th		septendecimal sub-fourth
21/16	470.780907	z4, zo 4th	P4⁷	sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic
33/25	480.645516	1ogg4, logugu 4th	d4¹¹₂₅	"5-EDO"-esque fourth
117/88	493.119721	3o1u4, tholu 4th		tridecimal gentle fourth, [-3, 2, 0, 0, -1, 1⟩
4/3	498.044999	w4, wa 4th	P4	just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
75/56	505.756522	ryy3, ruyoyo 3rd		marvelous fourth
980/729	512.235522	zzy5, zozoyo 5th	d5²⁴⁵	sensamagic fourth, septimal sesquidiminished grave fifth
27/20	519.551289	g4, gu 4th	P4₅	acute fourth
19/14	528.687110	19or4, noru 4th		undevicesimal wide fourth
49/36	533.741811	zz5, zozo 5th	d5⁴⁹	Arabic lute acute fourth
15/11	536.950772	1uy4, luyo 4th		undecimal augmented fourth, subaugmented fourth
48/35	546.815381	rg4, rugu 4th		septimal super-fourth
11/8	551.317942	1o4, ilo 4th	P4¹¹	super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa
18/13	563.382340	3u4, thu 4th		tridecimal augmented fourth
25/18	568.717426	yy4, yoyo 4th	A4²⁵	classic augmented fourth, pental augmented fourth, [-1 -2 2⟩
88/63	578.582034	1or4, loru 4th		werckismic augmented fourth
7/5	582.512193	zg5, zogu 5th	d5⁷₅	augmented fourth, septimal tritone, Huygen's tritone
45/32	590.223716	y4, yo 4th	A4⁵	smaller pental tritone, diatonic tritone, [-5 2 1⟩
108/77	585.721154	1ur4, luru 4th		swetismic augmented fourth, [2, 3, 0, -1, -1⟩
24/17	596.999591	17u4, su 4th	A4₁₇	smaller septendecimal tritone
99/70	600.088324	1org4, lorugu 4th	P4¹¹₃₅	homothetic quasi-tempered tritone
17/12	603.000409	17o5, iso 5th	d5¹⁷	larger septendecimal tritone
64/45	609.776284	g5, gu 5th	d5₅	larger pental tritone, diatonic tritone, [6 -2 -1⟩
10/7	617.487807	ry4, ruyo 4th	A4⁵₇	diminished fifth, Euler's tritone, superaugmented fourth
23/16	628.274347	23o5, twenty-tho 5th	A4²³	23-limit superaugmented fourth, octave-reduced 23rd harmonic
36/25	631.282574	gg5, gugu 5th	d5₂₅	pental diminished fifth, classic diminshed fifth, [2 2 -2⟩
13/9	636.617660	3o5, tho 5th		tridecimal diminished fifth
16/11	648.682058	1u5, lu 5th		sub-fifth, octave-reduced 11th subharmonic
35/24	653.184619	zy5, zoyo 5th		septimal sub-fifth
22/15	663.049228	1og5, logu 5th		undecimal diminished fifth, semidiminished fifth
72/49	666.258889	rr4, ruru 4th		septimal catafifth
81/55	670.188347	1ug5, lugu 5th		undecimal catafifth
28/19	671.312890	19uz5, nuzo 5th		undevicesimal narrow fifth
40/27	680.448711	y5, yo 5th	P5⁵	grave fifth
729/490	687.764478	rrg5, rurugu 4th	A4₂₄₅	sensamagic fifth, septimal sesquiaugmented acute fourth
112/75	694.243478	zgg6, zogugu 6th		marvelous fifth
16384/10935	700.001280	sg6, sagu 6th	d6₅	Kirnberger's fifth ("12-EDO"-esque fifth)
3/2	701.955001	w5, wa 5th	P5	just perfect fifth, octave-reduced 3rd harmonic, diapente
182/121	706.717684	3o1uuz6, tholuluzo 6th		tridecimal gentle fifth, [1, 0, 0, 1, -2, 1⟩
176/117	706.880279	3u1o5, thulo 5th		tridecimal gentle fifth, [4, -2, 0, 0, 1, -1⟩
50/33	719.354484	1uyy5, luyoyo 5th		"5-EDO"-esque fifth
32/21	729.219093	r5, ru 5th	P5₇	super-fifth, wide fifth, diminished sixth, octave-reduced 21st subharmonic
26/17	735.572252	17u3o5, sutho 5th		septendecimal super-fifth
49/32	737.651813	zz6, zozo 6th	m6⁴⁹	superduper fifth, octave-reduced 49th harmonic
20/13	745.786052	3uy5, thuyo 5th		Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth
17/11	753.637467	17o1u6, solu 6th		septendecimal subminor sixth
14/9	764.915905	z6, zo 6th	m6⁷	subminor sixth, septimal minor sixth, augmented fifth
25/16	772.627428	yy5, yoyo 5th		pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic
11/7	782.492036	1or5, loru 5th		undecimal subminor sixth, undecimal augmented fifth
63/40	786.422194	zg6, zogu 6th	m6⁷₅
128/81	792.179997	sw6, small wa 6th	m6	Pythagorean minor sixth, octave-reduced 81st subharmonic
8/5	813.686286	g6, gu 6th	m6₅	minor sixth, octave-reduced 5th subharmonic
413/256	827.997565	59oz6, fifty-nozo 6th		octave-reduced 413th harmonic, homestuck sixth (2-8 * 7 * 59)
13/8	840.527662	3o6, tho 6th	m6¹³	tridecimal neutral sixth, octave-reduced 13th harmonic
80/49	848.661901	rry5, ruruyo aug 5th		(purple 6th)
49/30	849.383198	zzg7, zozogu 7th		(purple 6th)
18/11	852.592059	1u6, lu 6th	M6₁₁	undecimal neutral sixth
28/17	863.870497	17uz6, suzo 6th		septendecimal submajor sixth
38/23	869.238669	23u19o6, twenty-thuno 6th		vicesimotertial submajor sixth
5/3	884.358713	y6, yo 6th	M6⁵	major sixth
42/25	898.153480	zgg7, zogugu 7th	d7⁷₂₅	quasi-tempered major sixth
32/19	902.486984	19u6, inu 6th		utonal major sixth, octave-reduced 19th subharmonic
27/16	905.865003	w6, wa 6th	M6	Pythagorean major sixth, octave-reduced 27th harmonic
22/13	910.790821	3u1o6, thulo 6th		tridecimal major sixth
17/10	918.641696	17og7, sogu 7th	d7¹⁷₅	septendecimal diminished seventh, septendecimal major sixth
12/7	933.129094	r6, ru 6th	M6₇	supermajor sixth, septimal major sixth, septimal diminished seventh
55/32	937.63166			keenanismic supermajor sixth
19/11	946.195074	19o1u7, nolu 7th	m7¹⁹₁₁	maximal major sixth, undevicesimal major sixth
140/81	947.319617	zy7, zoyo 7th	m7³⁵	septimal semidiminished seventh, septimal inframinor seventh
97/56	951.069504	97or6, ninety-soru 6th	M6⁹⁷₇	homothetic semitwelve
26/15	952.258947	3og7, thogu 7th	d7¹³₅	semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth
7/4	968.825906	z7, zo 7th	m7⁷	subminor seventh, harmonic seventh, augmented sixth, octave-reduced 7th harmonic
225/128	976.537429	Lyy6, large yoyo 6th		marvel five-limit harmonic seventh, octave-reduced 225th harmonic, [-7, 2, 2⟩
127/72	982.511622	127o7	m7¹²⁷	harmonic/Pythagorean minor seventh meantone
30/17	983.313305	17uy6, suyo 6th		septendecimal minor seventh
71/40	993.382830	71oy7	m7⁷¹₅	harmonic/just minor seventh meantone
959/540	994.285690	137ozy8	dd8^7,137₅	harmonic/Pythagorean/just minor seventh meantone
16/9	996.089998	w7, wa 7th	m7	Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
25/14	1003.801521	ryy6, ruyoyo 6th		Middle minor seventh
34/19	1007.442393	19u17o7, nuso 7th		Quasi-meantone minor seventh
9/5	1017.596288	g5, gu 7th	m7₅	classic minor seventh, large minor seventh
29/16	1029.577194	29o7, twenty-no 7th		29-limit large minor seventh, octave-reduced 29th harmonic
20/11	1034.995772	1uy7, luyo 7th	M7⁵₁₁	undecimal minor seventh, small undecimal neutral seventh
64/35	1044.860380	rg7, rugu 7th
11/6	1049.362941	1o7, ilo 7th	m7¹¹	undecimal neutral seventh, 21/4-tone
24/13	1061.427339	3u7, thu 7th		tridecimal neutral seventh
13/7	1071.701755	3or7, thoru 7th		16/3-tone, tridecimal submajor seventh
28/15	1080.557192	zg8, zogu octave		grave major seventh, octave minus a ruyo aug unison
15/8	1088.268715	y7, yo 7th	M7⁵	major seventh, just major seventh, octave-reduced 15th harmonic
32/17	1095.044590	17u7, su 7th	M7₁₇	small septendecimal major seventh, octave-reduced 17th subharmonic
17/9	1101.045408	17o8, iso octave	d8¹⁷	large septendecimal major seventh
36/19	1106.396986	19u7, inu 7th	M7₁₉	small undevicesimal major seventh
243/128	1109.775004	Lw7, large wa 7th	M7	Pythagorean major seventh, octave-reduced 243rd harmonic
19/10	1111.199302	19og8, nogu 8ve	d8¹⁹₅	large undevicesimal major seventh
40/21	1115.532907	ry7, ruyo 7th	M7⁵₇	acute major seventh
61/32	1116.884905	61o7, sixty-wo 7th	M7⁶¹	octave-reduced 61st harmonic
48/25	1129.327573	gg8, gugu octave	d8₂₅	classic diminished octave
27/14	1137.039096	r7, ru 7th	M7₇	supermajor seventh, septimal major seventh
31/16	1145.035572	31o7, thirty-wo 7th	M7³¹	31-limit ultramajor seventh, octave-reduced 31st harmonic
64/33	1146.727057	1u8, lu octave	P8₁₁	octave-reduced 33rd subharmonic
35/18	1151.239619	zy8, zoyo octave	P8³⁵	octave minus a rugu comma
96/49	1164.303188	rr7, ruru 7th	M7₄₉
49/25	1165.024385	zzgg9, bizogu 9th	d9⁴⁹₂₅
160/81	1178.493814	y8, yo octave	P8⁵	octave minus syntonic comma
2/1	1200	w8, wa octave	P8	octave, diapason

Intervals larger than an octave

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

frequency ratio	cents value (three decimal places)	color name		FJS name	some common names
13/6	1338.573	3o9	tho 9th	m9¹³
11/5	1365.004	1o9	ilo 9th	m9¹¹₅
16/7	1431.174	r9	ru 9th	m9₇
7/3	1466.871	z10	zo 10th	m10⁷	septimal minor tenth
5/2	1586.314	y10	yo 10th	M10⁵	just major tenth
8/3	1698.045	w11, cw4	wa 11th, co wa 4th	P11
11/4	1751.318	1o11, c1o4	ilo 11th, co lo 4th	P11¹¹
3/1	1901.955	w12, cw5	wa 12th, co wa 5th	P12	tritave
16/5	2013.686	g13, cg6	gu 13th, co gu 6th	m13₅
13/4	2040.528	3o13, c3o6	tho 13th, co tho 6th
10/3	2084.359	y13, cy6	yo 13th, co yo 6th
7/2	2168.826	cz7	co zo 7th
11/3	2249.363	c1o7	co ilo 7th
15/4	2288.269	cy7	co yo 7th
4/1	2400.000	cw8	wa double 8ve	P15	4th harmonic, two octaves
13/3	2538.573	c3o9, cc3o2	co tho 9th, coco tho 2nd
9/2	2603.910	cw9, ccw2	co wa 9th, coco yo 2nd
14/3	2666.871	cz10, ccz3	co zo 10th, coco zo 3rd
5/1	2786.314	cy10, ccy3	co yo 10th, coco yo 3rd	M17⁵	5th harmonic
16/3	2898.045	ccw4	coco wa 4th
11/2	2951.318	cc1o4	coco ilo 4th
6/1	3101.955	ccw5	coco wa 5th
13/2	3240.528	cc3o6	coco tho 6th
7/1	3368.826	ccz7	coco zo 7th
15/2	3488.269	ccy7	coco yo 7th
8/1	3600.000	c³w1	wa triple 8ve
9/1	3803.910	c³w2	trico wa 2nd
10/1	3986.314	c³y3	trico yo 3rd
11/1	4151.318	c³1o4	trico ilo 4th
12/1	4301.955	c³w5	trico wa 5th
13/1	4440.528	c³3o6	trico tho 6th
14/1	4568.826	c³z7	trico zo 7th
15/1	4688.269	c³y7	trico yo 7th
16/1	4800.000	c⁴w1	wa quadruple 8ve

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Intervals larger than an octave

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Gallery of just intervals

Introduction

Gallery of Just Intervals

Intervals larger than an octave

See also

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