177edo: Difference between revisions
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m Infobox ET added |
Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories |
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{{EDO intro}} | |||
[[ | The patent val tempers out [[245/243]] and [[2401/2400]] in the 7-limit, [[support]]ing and providing a good tuning for the [[octacot]] temperament. | ||
=== Odd harmonics === | |||
{{Harmonics in equal|177}} | |||
=== Subsets and supersets === | |||
Since 177 factors into {{factorization|177}}, 177edo contains [[3edo]] and [[59edo]] as its subsets. [[354edo]], which doubles it, provides good correction for the approximation of harmonic 3. | |||
Revision as of 09:42, 25 April 2024
| ← 176edo | 177edo | 178edo → |
The patent val tempers out 245/243 and 2401/2400 in the 7-limit, supporting and providing a good tuning for the octacot temperament.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.13 | +0.13 | +0.67 | -0.52 | -2.17 | +0.15 | +3.26 | -3.26 | +0.79 | -2.98 | +2.23 |
| Relative (%) | +46.2 | +1.9 | +9.8 | -7.7 | -31.9 | +2.2 | +48.0 | -48.1 | +11.7 | -44.0 | +33.0 | |
| Steps (reduced) |
281 (104) |
411 (57) |
497 (143) |
561 (30) |
612 (81) |
655 (124) |
692 (161) |
723 (15) |
752 (44) |
777 (69) |
801 (93) | |
Subsets and supersets
Since 177 factors into 3 × 59, 177edo contains 3edo and 59edo as its subsets. 354edo, which doubles it, provides good correction for the approximation of harmonic 3.