200edo: Difference between revisions
Added regular temperament properties |
→Regular temperament properties: correct the comma basis; style |
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200's divisors are: {{EDOs| 2, 4, 5, 8, 10, 20, 25, 40, 50, 100 }}. It factorizes as 5<sup>2</sup> × 2<sup>3</sup>. | 200's divisors are: {{EDOs| 2, 4, 5, 8, 10, 20, 25, 40, 50, 100 }}. It factorizes as 5<sup>2</sup> × 2<sup>3</sup>. | ||
==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|Comma List]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" |Optimal<br>8ve Stretch (¢) | ! rowspan="2" | Optimal<br>8ve Stretch (¢) | ||
! colspan="2" |Tuning Error | ! colspan="2" | Tuning Error | ||
|- | |- | ||
![[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
![[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
|- | |- | ||
|2.3 | | 2.3 | ||
|{{monzo|317 -200}} | | {{monzo| 317 -200 }} | ||
|{{val|200 317}} | | {{val| 200 317 }} | ||
| -0.0142 | | -0.0142 | ||
| 0.0142 | | 0.0142 | ||
| 0.24 | | 0.24 | ||
|- | |- | ||
|2.3.5 | | 2.3.5 | ||
|32805/32768, {{monzo|2 -32 21}} | | 32805/32768, {{monzo| 2 -32 21 }} | ||
|{{val|200 317 464}} | | {{val| 200 317 464 }} | ||
| +0.3226 | | +0.3226 | ||
| 0.4767 | | 0.4767 | ||
| 7.95 | | 7.95 | ||
|- | |- | ||
|2.3.5.7 | | 2.3.5.7 | ||
|1029/1024, 10976/10935, | | 1029/1024, 10976/10935, 39025/387072 | ||
|{{val|200 317 464 561}} | | {{val| 200 317 464 561 }} | ||
| +0.4937 | | +0.4937 | ||
| 0.5082 | | 0.5082 | ||
| Line 52: | Line 52: | ||
|+Table of rank-2 temperaments by generator | |+Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | ! Periods<br>per 8ve | ||
! Generator<br>( | ! Generator<br>(Reduced) | ||
! Cents<br>( | ! Cents<br>(Reduced) | ||
! Associated<br> | ! Associated<br>Ratio | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
|1 | | 1 | ||
|23\200 | | 23\200 | ||
|138.00 | | 138.00 | ||
| | | 27/25 | ||
|[[Quartemka]] | | [[Quartemka]] | ||
|- | |- | ||
|1 | | 1 | ||
|39\200 | | 39\200 | ||
|234.00 | | 234.00 | ||
| | | 8/7 | ||
|[[Guiron]] | | [[Guiron]] | ||
|- | |- | ||
|1 | | 1 | ||
|83\200 | | 83\200 | ||
|498.00 | | 498.00 | ||
|4/3 | | 4/3 | ||
|[[Helmholtz]] | | [[Helmholtz]] | ||
|} | |} | ||