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) == | ||
{|class="wikitable" | |||
|- | |||
!Generators up | |||
!Cents | |||
!Generators down | |||
!Cents | |||
|- | |||
|0 | |||
|0.00 | |||
|0 | |||
|0.00 | |||
|- | |||
|1 | |||
|1316.10 | |||
|585.86 | |||
|- | |||
|2 | |||
|730.24 | |||
|2 | |||
|1171.72 | |||
|- | |||
|3 | |||
|144.38 | |||
|3 | |||
|1757.58 | |||
|- | |||
|4 | |||
|1460.48 | |||
|4 | |||
|441.48 | |||
|- | |||
|5 | |||
|874.62 | |||
|5 | |||
|1027.34 | |||
|} | |||
[[Category:Temperaments]] | [[Category:Temperaments]] | ||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||
[[Category:Rank-2 temperaments]] | [[Category:Rank-2 temperaments]] | ||