User:Dave Keenan/gallery

Gallery of just intervals

See also list of superparticular intervals and List of intervals (Huygens-Fokker foundation)

If any FJS names are missing, please add them.

Intervals larger than an octave

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

Frequency Ratio	Cents Value (3 dec. pl.)	Sagittal notation	Color Name		FJS Name	Some common names
27/13	1265.337		3u8	thu8ve	A813	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	A335,5	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	M417,7	49th harmonic