Miaplacidus: Difference between revisions

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'''Miaplacidus''' is a [[tritave]]-repeating [[rank-2 temperament]] that tempers out the comma 5859375/5764801 in the 3.5.7 subgroup, the amount by which 4 [[15/7]]]'s exceed [[9/7]]. It thus tunes the chord 7:9:15 accurately. Having a generator of ~[[15/7]], it possesses [[MOS scale]]s of the families 3L 4s<3/1>, 3L 7s<3/1>, 3L 10s<3/1>, and 13L 3s<3/1>. Good tunings for this temperament are [[13edt]], [[16edt]], and [[29edt]].
'''Miaplacidus''' is a [[tritave]]-repeating [[rank-2 temperament]] that tempers out the comma 5859375/5764801 in the 3.5.7 subgroup, the amount by which 4 [[15/7]]'s exceed [[9/7]]. It thus tunes the chord 7:9:15 accurately. Having a generator of ~[[15/7]], it possesses [[MOS scale]]s of the families 3L 4s<3/1>, 3L 7s<3/1>, 3L 10s<3/1>, and 13L 3s<3/1>. Good tunings for this temperament are [[13edt]], [[16edt]], and [[29edt]].
== Interval chain (POTE tuning) ==  
== Interval chain (POTE tuning) ==  
TBA
TBA

Revision as of 07:58, 3 April 2023

Miaplacidus is a tritave-repeating rank-2 temperament that tempers out the comma 5859375/5764801 in the 3.5.7 subgroup, the amount by which 4 15/7's exceed 9/7. It thus tunes the chord 7:9:15 accurately. Having a generator of ~15/7, it possesses MOS scales of the families 3L 4s<3/1>, 3L 7s<3/1>, 3L 10s<3/1>, and 13L 3s<3/1>. Good tunings for this temperament are 13edt, 16edt, and 29edt.

Interval chain (POTE tuning)

TBA