1547edo: Difference between revisions
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In the 17-limit, it supports 91th-octave temperament protactinium. | In the 17-limit, it supports 91th-octave temperament protactinium. | ||
1547's divisors are 1, 7, 13, 17, 91, 119, 221. | 1547's divisors are {{EDOs|1, 7, 13, 17, 91, 119, 221}}. | ||
==Regular temperament properties== | ==Regular temperament properties== | ||
===Rank-2 temperaments by generator=== | ===Rank-2 temperaments by generator=== | ||
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|- | |- | ||
|7 | |7 | ||
|670\1547 | |670\1547<br>(7\1547) | ||
(7\1547) | |519.715<br>(5.429) | ||
|519.715 | |27/20<br>(325/324) | ||
(5.429) | |||
|27/20 | |||
(325/324) | |||
|[[Brahmagupta]] | |[[Brahmagupta]] | ||
|- | |- | ||
| Line 48: | Line 45: | ||
| [[Protactinium]] | | [[Protactinium]] | ||
|} | |} | ||
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | |||
Revision as of 19:31, 15 September 2022
Theory
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.049 | -0.018 | +0.017 | +0.201 | +0.326 | -0.237 | +0.354 | +0.039 | -0.230 | -0.110 |
| Relative (%) | +0.0 | +6.3 | -2.3 | +2.2 | +25.9 | +42.0 | -30.5 | +45.6 | +5.0 | -29.7 | -14.2 | |
| Steps (reduced) |
1547 (0) |
2452 (905) |
3592 (498) |
4343 (1249) |
5352 (711) |
5725 (1084) |
6323 (135) |
6572 (384) |
6998 (810) |
7515 (1327) |
7664 (1476) | |
1547edo is excellent in the 7-limit.
In the 5-limit, it supports gross.
In the 7-limit, it supports semidimi and brahmagupta.
In the 17-limit, it supports 91th-octave temperament protactinium.
1547's divisors are 1, 7, 13, 17, 91, 119, 221.
Regular temperament properties
Rank-2 temperaments by generator
| Periods per octave |
Generator (reduced) |
Cents (reduced) |
Associated ratio |
Temperaments |
|---|---|---|---|---|
| 1 | 118\1547 | 91.532 | [9 -32 18> | Gross |
| 1 | 579\1547 | 449.127 | 35/27 | Semidimi |
| 7 | 670\1547 (7\1547) |
519.715 (5.429) |
27/20 (325/324) |
Brahmagupta |
| 91 | 905\1547 (4\1547) |
702.003 (3.103) |
3/2 (?) |
Protactinium |