1ed8/7

1 equal division of 8/7 (1ed8/7), also known as ambitonal sequence of 8/7 (AS8/7) or 8/7 equal-step tuning, uses a just 8/7 whole tone as the basis of an equal-step tuning, which results in an interesting nonoctave tuning. As every interval is a multiple of 8/7, the resultant tuning would be a subset of 7-limit just intonation. This can be also viewed as generating a subset of gamelismic temperaments.

Intervals as 7-limit ratios

Ratio		Cents
(8/7)0	1/1	0.0000
(8/7)1	8/7	231.1741
(8/7)2	64/49	462.3482
(8/7)3	512/343	693.5223
(8/7)4	4096/2401	924.6964
(8/7)5	32768/16807	1155.8705
(8/7)6	262144/117649	1387.0446
(8/7)7	2097152/823543	1618.2187
(8/7)8	16777216/5764801	1849.3927
(8/7)9	134217728/40353607	2080.5668
(8/7)10	1073741824/282475249	2311.7409
(8/7)11	8589934592/1977326743	2542.9150