402edo: Difference between revisions
Review |
-rank-3 temps that are obvious from the commas ("parahemwuer" is just an alias for hemimean); note abigail and bischismic in the table of rank-2 temps |
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* {{val| 402 637 '''934''' 1129 }} (402c) | * {{val| 402 637 '''934''' 1129 }} (402c) | ||
Using the patent val, it tempers out [[4375/4374]], 7381125/7340032 and 3200000/3176523 in the 7-limit. It | Using the patent val, it tempers out the [[semicomma]] in the 5-limit; [[4375/4374]], 7381125/7340032 and 3200000/3176523 in the 7-limit. It [[support]]s [[abigail]]. | ||
Using the 402d val, it tempers out [[250047/250000]], 1500625/1492992 and 2460375/2458624 in the 7-limit | Using the 402d val, it tempers out [[250047/250000]], 1500625/1492992 and 2460375/2458624 in the 7-limit. | ||
Using the 402c val, it tempers out [[3136/3125]], 321489/320000 and 13060694016/12867859375 in the 7-limit. It supports [[bischismic | Using the 402c val, it tempers out the [[schisma]] in the 5-limit; and [[3136/3125]], 321489/320000 and 13060694016/12867859375 in the 7-limit. It supports [[bischismic]]. | ||
=== Odd harmonics === | === Odd harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 402 factors into 2 × 3 × 67, 402edo has subset edos {{EDOs| 2, 3, 6, 67, 134, and 201 }}. [[804edo]], which doubles it, gives a good correction to the | Since 402 factors into 2 × 3 × 67, 402edo has subset edos {{EDOs| 2, 3, 6, 67, 134, and 201 }}. [[804edo]], which doubles it, gives a good correction to the harmonics 5 and 7. | ||
== Regular temperament properties == | == Regular temperament properties == | ||
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| 271.64 | | 271.64 | ||
| 75/64 | | 75/64 | ||
| [[Orson]] | | [[Orson]] (402) | ||
|- | |- | ||
| 1 | | 1 | ||
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| 343.28 | | 343.28 | ||
| 8000/6561 | | 8000/6561 | ||
| [[Raider]] | | [[Raider]] (402) | ||
|- | |||
| 2 | |||
| 70\402 | |||
| 208.96 | |||
| 44/39 | |||
| [[Abigail]] (402) | |||
|- | |||
| 2 | |||
| 167\402<br>(34\402) | |||
| 498.51<br>(101.49) | |||
| 4/3<br>(200/189) | |||
| [[Bischismic]] (402c, 7-limit) | |||
|} | |} | ||
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | <nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | ||