User:FloraC/Sandbox

7-Limit Intervals

7-limit, 81-odd-limit intervals.

Interval Class		Wa Intervals		Yo/Gu Intervals		Zo/Ru Intervals		Ruyo/Zogu Intervals		Yoyo/Gugu Intervals		Zozo/Ruru Intervals		Zoyo/Rugu Intervals		Biruyo/Bizogu Intervals
Traditional Name	Fifth steps	Ratio	Cent	Ratio	Cent	Ratio	Cent	Ratio	Cent	Ratio	Cent	Ratio	Cent	Ratio	Cent	Ratio	Cent
Negative diminshed 2nd	+12															50/49	34.976
Perfect 1sn	0	1/1	0	81/80	21.506	64/63	27.264							36/35	48.770
Augmented 1sn	+7							15/14	119.443	25/24	70.672	54/49	168.213
Minor 2nd	-5			16/15	111.731	28/27	62.961	21/20	84.467	27/25	133.238	49/48	35.697
Major 2nd	+2	9/8	203.910	10/9	182.404	8/7	231.174							81/70	252.680
Augmented 2nd	+9									75/64	274.582
Minor 3rd	-3	32/27	294.135	6/5	315.641	7/6	266.871
Major 3rd	+4	81/64	407.820	5/4	386.313	9/7	435.084	80/63	413.578			64/49	462.348
Diminished 4th	-8							56/45	378.602	32/25	427.373
Perfect 4th	-1	4/3	498.045	27/20	519.551	21/16	470.781							35/27	449.275
Augmented 4th	+6			45/32	590.224	81/56	638.994	10/7	617.488
Diminshed 5th	-6			64/45	609.776	112/81	561.006	7/5	582.512
Perfect 5th	+1	3/2	701.955	40/27	680.449	32/21	729.219							54/35	750.725
Augmented 5th	+8							45/28	821.398	25/16	772.627
Minor 6th	-4	128/81	792.180	8/5	813.687	14/9	764.916	63/40	786.422			49/32	737.652
Major 6th	+3	27/16	905.865	5/3	884.339	12/7	933.129
Diminished 7th	-9									128/75	925.418
Minor 7th	-2	16/9	996.090	9/5	1017.596	7/4	968.826							140/81	947.320
Major 7th	+5			15/8	1088.269	27/14	1131.039	40/21	1115.533	50/27	1066.762	96/49	1164.303
Diminished 8ve	-7							28/15	1080.557	48/25	1129.328	49/27	1031.787
Perfect 8ve	0	2/1	1200	160/81	1178.494	63/32	1172.736							35/18	1151.230
Diminished 9th	-12															49/25	1165.028

Intervals of 87edo

#	Cents	Approximated Ratios	Ups and Downs Notation	Solfege
0	0.000	1/1	D
1	13.793	126/125, 100/99, 91/90	^D
2	27.586	81/80, 64/63, 49/48, 55/54, 65/64	^^D
3	41.379	50/49, 45/44	^^^D/vvvEb
4	55.172	28/27, 36/35, 33/32	vvEb
5	68.966	25/24, 27/26, 26/25	vEb
6	82.759	21/20, 22/21	Eb
7	96.552	35/33	^Eb
8	110.345	16/15	^^Eb
9	124.138	15/14, 14/13	^^^Eb
10	137.931	13/12	^^^^Eb
11	151.724	12/11	vvvvE
12	165.517	11/10	vvvE
13	179.310	10/9	vvE
14	193.103	28/25	vE
15	206.897	9/8	E
16	220.690	25/22	^E
17	234.483	8/7	^^E
18	248.276	15/13	^^^E/vvvF
19	262.089	7/6	vvF
20	275.862	75/64	vF
21	289.655	33/28, 13/11	F
22	303.448	25/21, 105/88	^F
23	317.241	6/5	^^F
24	331.034	63/52	^^^F
25	344.828	11/9, 39/32	^^^^F
26	358.621	27/22, 16/13	vvvvF#
27	372.414	26/21	vvvF#
28	386.207	5/4	vvF#
29	400.000	63/50, 44/35	vF#
30	413.793	14/11, 33/26	F#
31	427.586	32/25	^F#
32	441.379	9/7	^^F#
33	455.172	13/10	^^^F#/vvvG
34	468.966	21/16	vvG
35	482.759	33/25	vG
36	496.552	4/3	G
37	510.345	75/56	^G
38	524.138	27/20	^^G
39	537.931	15/11	^^^G
40	551.724	11/8	^^^^G
41	565.517	18/13	vvvvG#, vAb
42	579.310	7/5, 39/28	vvvG#, Ab
43	593.103	45/32	vvG#, ^Ab