296edo: Difference between revisions

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== Theory ==
== Theory ==
In the 5-limit, 296et not only tempers out the [[semicomma]] of 5-limit orwell (orson) temperament, 2109375/2097152, it also provides its [[optimal patent val]], and tempers out the minortone comma, {{monzo| -16 35 -17 }}. It is also an interesting temperament in higher limits, being distinctly consistent through to the 15-odd-limit. In the 7-limit it tempers out [[4375/4374]] and 16875/16807, supporting 7-limit [[octoid]] temperament. In the 11-limit, it tempers out 1375/1372, [[6250/6237]], [[540/539]], [[4000/3993]] and [[3025/3024]], and in the 13-limit [[625/624]], [[729/728]], [[1575/1573]], [[1716/1715]], [[2080/2079]], so that it also supports the 11- and 13-limit versions of octoid.
In the 5-limit, 296et not only tempers out the [[semicomma]] of 5-limit orwell (orson) temperament, 2109375/2097152, it also provides its [[optimal patent val]], and tempers out the minortone comma, {{monzo| -16 35 -17 }}. It is also an interesting temperament in higher limits, being distinctly consistent through to the 15-odd-limit. In the 7-limit it tempers out 4375/4374 ([[ragisma]]), 16875/16807 (mirkwai), and 118098/117649 (stearnsma), supporting 7-limit [[octoid]] temperament. In the 11-limit, [[540/539]], 1375/1372, [[3025/3024]], [[4000/3993]], [[6250/6237]] and [[9801/9800]]; in the 13-limit, [[625/624]], [[729/728]], [[1575/1573]], [[1716/1715]], [[2080/2079]], and [[6656/6655]], so that it also supports the 11- and 13-limit versions of octoid.


296 is divisible by 2, 4, 8, 37, 74 and 148.
296 is divisible by {{EDOs| 2, 4, 8, 37, 74 and 148 }}.


=== Prime harmonics ===
=== Prime harmonics ===