323edo: Difference between revisions
→Theory: add a fact and corresponding mappings |
m →Regular temperament properties: cleanup |
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== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
! rowspan="2" | Subgroup | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal 8ve <br> | ! rowspan="2" | Optimal 8ve <br>Stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning Error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
| Line 44: | Line 44: | ||
| 3.14 | | 3.14 | ||
|- | |- | ||
| 2.3.5.7. | | 2.3.5.7.13 | ||
| | | 676/675, 4375/4374, 4096/4095, 65000/64827 | ||
| [{{val| 323 512 750 907 | | [{{val| 323 512 750 907 1195}}] | ||
| -0. | | -0.0431 | ||
| 0. | | 0.1770 | ||
| | | 4.76 | ||
|- | |- | ||
| 2.3.5.7. | | 2.3.5.7.13.17 | ||
| | | 442/441, 1275/1274, 2500/2499, 4375/4374, 4096/4095 | ||
| [{{val| 323 512 750 907 | | [{{val| 323 512 750 907 1195 1320}}] | ||
| | | +0.0020 | ||
| 0. | | 0.1905 | ||
| | | 5.13 | ||
|- | |- | ||
|2.3.5.7. | | style="border-top: double;" | 2.3.5.7.11 | ||
| | | style="border-top: double;" | 540/539, 4375/4374, 12005/11979, 16384/16335 | ||
|[{{val| 323 512 750 907 | | style="border-top: double;" | [{{val| 323 512 750 907 1118 }}] (323e) | ||
| | | style="border-top: double;" | -0.2213 | ||
|0. | | style="border-top: double;" | 0.2375 | ||
| | | style="border-top: double;" | 6.39 | ||
|- | |- | ||
|2.3.5.7. | | style="border-top: double;" | 2.3.5.7.11 | ||
| | | style="border-top: double;" | 1375/1372, 4375/4374, 5632/5625, 14641/14580 | ||
|[{{val| 323 512 750 907 | | style="border-top: double;" | [{{val| 323 512 750 907 1117 }}] (323) | ||
| | | style="border-top: double;" | -0.0066 | ||
|0. | | style="border-top: double;" | 0.2399 | ||
| | | style="border-top: double;" | 6.46 | ||
|} | |} | ||
| Line 76: | Line 76: | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+Table of rank-2 temperaments by generator | ||
! Periods<br>per | ! Periods<br>per 8ve | ||
! Generator<br>( | ! Generator<br>(Reduced) | ||
! Cents<br>( | ! Cents<br>(Reduced) | ||
! Associated<br> | ! Associated<br>Ratio | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||