16ed5/2: Difference between revisions

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Coincidentally, 133 steps of the pyrite EDX of this size exceed 11 octaves by only 2.978¢.
Coincidentally, 133 steps of the pyrite EDX of this size exceed 11 octaves by only 2.978¢.


== 16ed5/2 as a generator ==
== Regular temperaments ==
16ED5/2 can also be thought of as a [[generator]] of the 2.3.5.17.19 [[Subgroup temperaments|subgroup temperament]] which tempers out 256/255, 361/360, and 4624/4617, which is a [[cluster temperament]] with 12 clusters of notes in an octave (''quintaleap'' temperament). This temperament is supported by {{Val list|12, 109, 121, 133, 145}}, and [[157edo|157]] EDOs.
16ED5/2 can also be thought of as a [[generator]] of the 2.3.5.17.19 [[Subgroup temperaments|subgroup temperament]] which tempers out 256/255, 361/360, and 4624/4617, which is a [[cluster temperament]] with 12 clusters of notes in an octave (''quintaleap'' temperament). This temperament is supported by {{Val list|12, 109, 121, 133, 145}}, and [[157edo|157]] EDOs.


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; <font style="font-size: 1.15em">Quintaleap (12&amp;121)</font>
; <font style="font-size: 1.15em">[[High badness temperaments #Quintaleap|Quintaleap]] (12&amp;121)</font>
'''5-limit'''<br>
'''5-limit'''<br>
Comma: {{monzo|37 -16 -5}} = 137438953472/134521003125<br>
Comma: {{monzo|37 -16 -5}} = 137438953472/134521003125<br>