1600edo: Difference between revisions
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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]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" |Optimal | ! rowspan="2" | Optimal<br>8ve Stretch (¢) | ||
8ve | ! colspan="2" | Tuning Error | ||
! colspan="2" |Tuning | |||
|- | |- | ||
![[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
![[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
|- | |- | ||
|2.3.5 | | 2.3.5 | ||
|{{Monzo|-53 | | {{Monzo| -53 10 16 }}, {{monzo| 26 -75 40 }} | ||
|[{{val|1600 2536 3715}}] | | [{{val| 1600 2536 3715 }}] | ||
| -0.000318 | | -0.000318 | ||
|0.022794 | | 0.022794 | ||
| | | | ||
|- | |- | ||
|2.3.5.7 | | 2.3.5.7 | ||
|4375/4374, {{ | | 4375/4374, {{monzo| 36 -5 0 -10 }}, {{monzo| -17 5 16 -10 }} | ||
|[{{val|1600 2536 3715 4492}}] | | [{{val| 1600 2536 3715 4492 }}] | ||
| -0.015742 | | -0.015742 | ||
|0.033217 | | 0.033217 | ||
| | | | ||
|- | |- | ||
|2.3.5.7.11 | | 2.3.5.7.11 | ||
|3025/3024, 4375/4374, 184549376/184528125, 7680000000/7672950131 | | 3025/3024, 4375/4374, 184549376/184528125, 7680000000/7672950131 | ||
|[{{val|1600 2536 3715 4492 5535}}] | | [{{val| 1600 2536 3715 4492 5535 }}] | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
|2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
|3025/3024, 4096/4095, 4375/4374, 91125/91091, 14236560/14235529 | | 3025/3024, 4096/4095, 4375/4374, 91125/91091, 14236560/14235529 | ||
|[{{val|1600 2536 3715 4492 5535 5921}}] | | [{{val| 1600 2536 3715 4492 5535 5921 }}] | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
|2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
|2500/2499, 3025/3024, 4375/4374, 14875/14872, 154880/154791, 1724800/1724463 | | 2500/2499, 3025/3024, 4375/4374, 14875/14872, 154880/154791, 1724800/1724463 | ||
|[{{val|1600 2536 3715 4492 5535 5921 6540}}] | | [{{val| 1600 2536 3715 4492 5535 5921 6540 }}] | ||
| -0.016332 | | -0.016332 | ||
| | | | ||
| | | | ||
|} | |} | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
!Periods<br>per 8ve | ! Periods<br>per 8ve | ||
!Generator | ! Generator | ||
!Cents | ! Cents | ||
!Associated<br> | ! Associated<br>Ratio | ||
!Temperaments | ! Temperaments | ||
|- | |- | ||
|2 | | 2 | ||
|217\1600 | | 217\1600 | ||
|162.75 | | 162.75 | ||
|1125/1024 | | 1125/1024 | ||
|[[Kwazy]] | | [[Kwazy]] | ||
|- | |- | ||
|32 | | 32 | ||
|121\1600<br>(21/1600) | | 121\1600<br>(21/1600) | ||
|90.75<br>(15.75) | | 90.75<br>(15.75) | ||
|48828125/46294416<br>(?) | | 48828125/46294416<br>(?) | ||
|[[Windrose]] | | [[Windrose]] | ||
|- | |- | ||
|32 | | 32 | ||
|357\1600<br>(7\1600) | | 357\1600<br>(7\1600) | ||
|267.75<br>(5.25) | | 267.75<br>(5.25) | ||
|245/143<br>(?) | | 245/143<br>(?) | ||
|[[Germanium]] | | [[Germanium]] | ||
|- | |- | ||
|32 | | 32 | ||
|23\1600 | | 23\1600 | ||
|17.25 | | 17.25 | ||
|? | | ? | ||
|[[Dike]] | | [[Dike]] | ||
|- | |- | ||
|80 | | 80 | ||
|629\1600<br>(9\1600) | | 629\1600<br>(9\1600) | ||
|471.75<br>(6.75) | | 471.75<br>(6.75) | ||
|130/99<br>(?) | | 130/99<br>(?) | ||
|[[Tetraicosic]] | | [[Tetraicosic]] | ||
|} | |} | ||