12348edo: Difference between revisions
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{{Infobox ET|Consistency=41|Distinct consistency=41}} | {{novelty}}{{stub}}{{Infobox ET|Consistency=41|Distinct consistency=41}} | ||
{{EDO intro|12348}}. It is a remarkable very high-limit equal temperament, [[consistent]] through the [[41-odd-limit]] distinctly, tempering out 17205/17204, 25025/25024, 28861/28860, 44955/44954, 47125/47124, 52326/52325, 83657/83655, 89376/89375, 866133/866125, 1183455/1183424, 1843155/1843072, and 4629625/4629474. | {{EDO intro|12348}}. It is a remarkable very high-limit equal temperament, [[consistent]] through the [[41-odd-limit]] distinctly, tempering out 17205/17204, 25025/25024, 28861/28860, 44955/44954, 47125/47124, 52326/52325, 83657/83655, 89376/89375, 866133/866125, 1183455/1183424, 1843155/1843072, and 4629625/4629474. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|12348}} | {{Harmonics in equal|12348}} | ||
Revision as of 04:16, 9 July 2023
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Template:EDO intro. It is a remarkable very high-limit equal temperament, consistent through the 41-odd-limit distinctly, tempering out 17205/17204, 25025/25024, 28861/28860, 44955/44954, 47125/47124, 52326/52325, 83657/83655, 89376/89375, 866133/866125, 1183455/1183424, 1843155/1843072, and 4629625/4629474.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | -0.0114 | -0.0163 | -0.0212 | -0.0060 | -0.0029 | +0.0009 | -0.0397 | +0.0055 | -0.0339 | -0.0404 |
| Relative (%) | +0.0 | -11.7 | -16.8 | -21.9 | -6.2 | -3.0 | +0.9 | -40.9 | +5.7 | -34.9 | -41.6 | |
| Steps (reduced) |
12348 (0) |
19571 (7223) |
28671 (3975) |
34665 (9969) |
42717 (5673) |
45693 (8649) |
50472 (1080) |
52453 (3061) |
55857 (6465) |
59986 (10594) |
61174 (11782) | |