1ed8/7
(Redirected from 8/7 equal-step tuning)
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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 |