346edo: Difference between revisions

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346edo is [[consistent]] to the [[7-odd-limit]], but the errors of [[harmonic]]s [[3/1|3]], [[5/1|5]], and [[7/1|7]] are all quite large, commending itself as a 2.9.15.21.11 [[subgroup]] temperament, in which it tempers out [[3025/3024]], [[4375/4374]] and [[5632/5625]], [[support]]ing the 76 & 270 temperament i.e. every other step of [[vishnu]].

Using the [[patent val]] nonetheless, the equal temperament [[tempering out|tempers out]] [[243/242]], [[441/440]], [[540/539]], [[2401/2400]], [[4000/3993]], [[9801/9800]] and [[19683/19600]]. It is a possible tuning for the 11-limit version of [[harry]], the 72 & 274 temperament, as well as the rank-3 temperament [[jove]], which tempers out 243/242 and 441/440. The 346e val tempers out [[385/384]], [[1375/1372]] and provides a possible tuning for [[fibo]], the 103 & 243 temperament.

Using the [[patent val]] nonetheless, the equal temperament [[tempering out|tempers out]] [[243/242]], [[441/440]], [[540/539]], [[2401/2400]], [[4000/3993]], [[9801/9800]] and [[19683/19600]]. It is a possible tuning for the 11-limit version of [[harry]], the 72 & 274 temperament, as well as the rank-3 temperament [[jove]], which tempers out 243/242 and 441/440. The 346e val tempers out [[385/384]] and [[1375/1372]], and provides a possible tuning for [[fibo]], the 103 & 243 temperament.

=== Odd harmonics ===

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 edo is [[consistent]] to the [[7-odd-limit]], but the errors of [[harmonic]]s [[3/1|3]], [[5/1|5]], and [[7/1|7]] are all quite large, commending itself as a 2.9.15.21.11 [[subgroup]] temperament, in which it tempers out [[3025/3024]], [[4375/4374]] and [[5632/5625]], [[support]]ing the 76 & 270 temperament i.e. every other step of [[vishnu]].
-Using the [[patent val]] nonetheless, the equal temperament [[tempering out|tempers out]] [[243/242]], [[441/440]], [[540/539]], [[2401/2400]], [[4000/3993]], [[9801/9800]] and [[19683/19600]]. It is a possible tuning for the 11-limit version of [[harry]], the 72 & 274 temperament, as well as the rank-3 temperament [[jove]], which tempers out 243/242 and 441/440. The 346e val tempers out [[385/384]], [[1375/1372]] and provides a possible tuning for [[fibo]], the 103 & 243 temperament.
+Using the [[patent val]] nonetheless, the equal temperament [[tempering out|tempers out]] [[243/242]], [[441/440]], [[540/539]], [[2401/2400]], [[4000/3993]], [[9801/9800]] and [[19683/19600]]. It is a possible tuning for the 11-limit version of [[harry]], the 72 & 274 temperament, as well as the rank-3 temperament [[jove]], which tempers out 243/242 and 441/440. The 346e val tempers out [[385/384]] and [[1375/1372]], and provides a possible tuning for [[fibo]], the 103 & 243 temperament.
 === Odd harmonics ===