1ed65c
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| ← 239ed8192 | 240ed8192 | 241ed8192 → |
1 equal division of 65¢ (1ed65c), also known as arithmetic pitch sequence of 65¢ (APS65¢), is an equal nonoctave scale generated by making a continuous chain of intervals of exactly 65¢. It is a good tuning in the 2.3.5.7.11.13.27 subgroup, and is closely related to 37edo and 37ED4. 37 degrees of 1ed65c is exactly 2405¢, which is the 4/1 double octave plus 5¢. Thus, 1ed65c can be seen as a stretched version of 37ed4.
A characteristic pentad of 1ed65c is 8:10:13:14:22 and it's utonal inversion.
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -30.0 | -17.0 | +5.0 | +8.7 | +18.0 | +11.2 | -25.0 | +31.1 | -21.3 | +8.7 |
| Relative (%) | -46.2 | -26.1 | +7.7 | +13.4 | +27.8 | +17.2 | -38.5 | +47.8 | -32.8 | +13.4 | |
| Steps | 18 | 29 | 37 | 43 | 48 | 52 | 55 | 59 | 61 | 64 | |
Intervals
| Degree of 1ed65c | Cents Value |
|---|---|
| 0 | 0 |
| 1 | 65 |
| 2 | 130 |
| 3 | 195 |
| 4 | 260 |
| 5 | 325 |
| 6 | 390 |
| 7 | 455 |
| 8 | 520 |
| 9 | 585 |
| 10 | 650 |
| 11 | 715 |
| 12 | 780 |
| 13 | 845 |
| 14 | 910 |
| 15 | 975 |
| 16 | 1040 |
| 17 | 1105 |
| 18 | 1170 |
| 19 | 1235 |
| 20 | 1300 |
| 21 | 1365 |
| 22 | 1430 |
| 23 | 1495 |
| 24 | 1560 |
| 25 | 1625 |
| 26 | 1690 |
| 27 | 1755 |
| 28 | 1820 |
| 29 | 1885 |
| 30 | 1950 |
| 31 | 2015 |
| 32 | 2080 |
| 33 | 2145 |
| 34 | 2210 |
| 35 | 2275 |
| 36 | 2340 |
| 37 | 2405 |
Music
Slumber of Thought by Chris Vaisvil
Malathion in 65cET by Chris Vaisvil (65cET is an outdated name for this tuning system, standing for "65-cent equal temperament")