Miaplacidus: Difference between revisions

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{|class="wikitable"
{|class="wikitable"
|-
|-
!Generators up
! Generators up
!Cents
! Cents
!Generators down
! Generators down
!Cents
! Cents
|-
|-
|0
| 0
|0.00
| 0.00
|0
| 0
|0.00
| 0.00
|-
|-
|1
| 1
|1316.10
| 1316.10
|1
| 1
|585.86
| 585.86
|-
|-
|2
| 2
|730.24
| 730.24
|2
| 2
|1171.72
| 1171.72
|-
|-
|3
| 3
|144.38
| 144.38
|3
| 3
|1757.58
| 1757.58
|-
|-
|4
| 4
|1460.48
| 1460.48
|4
| 4
|441.48
| 441.48
|-
|-
|5
| 5
|874.62
| 874.62
|5
| 5
|1027.34
| 1027.34
|}
|}


[[Category:Temperaments]]
[[Category:Miaplacidus| ]] <-- main article -->
[[Category:Rank-2 temperaments]]
[[Category:Subgroup temperaments]]
[[Category:Nonoctave]]
[[Category:Nonoctave]]
[[Category:Rank-2 temperaments]]


{{stub}}
 
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Revision as of 14:24, 28 April 2025

This page on a regular temperament, temperament collection, or aspect of regular temperament theory is being revised for clarity as part of WikiProject TempClean.

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)

Generators up Cents Generators down Cents
0 0.00 0 0.00
1 1316.10 1 585.86
2 730.24 2 1171.72
3 144.38 3 1757.58
4 1460.48 4 441.48
5 874.62 5 1027.34

<-- main article -->


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