85edo
Theory
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.93 | -5.14 | +5.29 | -6.26 | -0.73 | +6.53 | -1.21 | -6.13 | -1.04 | -4.90 | +7.02 |
| Relative (%) | +27.8 | -36.4 | +37.5 | -44.4 | -5.2 | +46.3 | -8.6 | -43.4 | -7.4 | -34.7 | +49.7 | |
| Steps (reduced) |
135 (50) |
197 (27) |
239 (69) |
269 (14) |
294 (39) |
315 (60) |
332 (77) |
347 (7) |
361 (21) |
373 (33) |
385 (45) | |
85 = 5 * 17, and it shares the same 3.9 cent sharp fifth as 17, 34, and 68. The patent val tempers out 3125/3072 in the 5-limit and 875/864, 245/243 and 225/224 in the 7-limit, so that it supports magic. It tempers out 100/99 and 245/243 in the 11-limit, supporting 11-limit magic, and 1188/1183, 847/845 and 1575/1573 in the 13-limit. It provides the optimal patent val for the 13-limit temperament tempering out 100/99, 540/539, 847/845 and 1575/1573.