104edo: Difference between revisions
Improve intro and sectioning |
+RTT table and important corrections |
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== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" | Subgroup | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br>8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |||
| 2.3 | |||
| {{monzo| 165 -104 }} | |||
| [{{val| 104 165 }}] | |||
| -0.597 | |||
| 0.596 | |||
| 5.17 | |||
|- | |||
| 2.3.5 | |||
| 2048/2025, {{monzo| 0 22 -15 }} | |||
| [{{val| 104 165 242 }}] (104c) | |||
| -1.258 | |||
| 1.054 | |||
| 9.14 | |||
|- | |||
| 2.3.5.7 | |||
| 126/125, 2048/2025, 117649/116640 | |||
| [{{val| 104 165 242 292 }}] (104c) | |||
| -0.980 | |||
| 1.032 | |||
| 8.95 | |||
|- | |||
| 2.3.5.7.11 | |||
| 126/125, 176/175, 896/891, 14641/14580 | |||
| [{{val| 104 165 242 292 360 }}] (104c) | |||
| -0.930 | |||
| 0.929 | |||
| 8.05 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 126/125, 176/175, 196/195, 364/363, 2197/2187 | |||
| [{{val| 104 165 242 292 360 385 }}] (104c) | |||
| -0.855 | |||
| 0.864 | |||
| 7.49 | |||
|} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
==== In patent val ==== | ==== In patent val ==== | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
! Periods <br> per octave | ! Periods <br> per octave | ||
| Line 46: | Line 90: | ||
==== In 104c val ==== | ==== In 104c val ==== | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
! Periods <br> per octave | ! Periods <br> per octave | ||
| Line 80: | Line 123: | ||
| 8 | | 8 | ||
| 50\104 <br> (2\104) | | 50\104 <br> (2\104) | ||
| | | 565.385 <br> (34.615) | ||
| 121 | | 168/121 <br> (55/54) | ||
| [[Octowerck]] | | [[Octowerck]] | ||
|} | |} | ||
== Intervals == | == Intervals == | ||
{| class="wikitable center- | {| class="wikitable center-1 right-2" | ||
|- | |- | ||
! rowspan="2" | # | ! rowspan="2" | # | ||
| Line 269: | Line 312: | ||
| | | | ||
| | | | ||
| [[6/5]] | | [[6/5]], [[40/33]] | ||
|- | |- | ||
| 29 | | 29 | ||
| 334.615 | | 334.615 | ||
| [[17/14]] | | [[17/14]] | ||
| | | [[40/33]] | ||
| | | | ||
|- | |- | ||