1600edo: Difference between revisions
ArrowHead294 (talk | contribs) m Partial undo |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br | ! rowspan="2" | Optimal<br>8ve stretch (¢) | ||
! colspan="2" | Tuning error | ! colspan="2" | Tuning error | ||
|- | |- | ||
| Line 28: | Line 28: | ||
|- | |- | ||
| 2.3.5 | | 2.3.5 | ||
| {{ | | {{Monzo| -53 10 16 }}, {{monzo| 26 -75 40 }} | ||
| {{ | | {{Mapping| 1600 2536 3715 }} | ||
| | | −0.0003 | ||
| 0.0228 | | 0.0228 | ||
| 3.04 | | 3.04 | ||
| Line 36: | Line 36: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 4375/4374, {{monzo| 36 -5 0 -10 }}, {{monzo| -17 5 16 -10 }} | | 4375/4374, {{monzo| 36 -5 0 -10 }}, {{monzo| -17 5 16 -10 }} | ||
| {{ | | {{Mapping| 1600 2536 3715 4492 }} | ||
| | | −0.0157 | ||
| 0.0332 | | 0.0332 | ||
| 4.43 | | 4.43 | ||
| Line 43: | Line 43: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 3025/3024, 4375/4374, {{monzo| 24 -1 -5 0 1 }}, {{monzo| 15 1 7 -8 -3 }} | | 3025/3024, 4375/4374, {{monzo| 24 -1 -5 0 1 }}, {{monzo| 15 1 7 -8 -3 }} | ||
| {{ | | {{Mapping| 1600 2536 3715 4492 5535 }} | ||
| | | −0.0172 | ||
| 0.0329 | | 0.0329 | ||
| 4.39 | | 4.39 | ||
| Line 50: | Line 50: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 3025/3024, 4096/4095, 4375/4374, 78125/78078, 823875/823543 | | 3025/3024, 4096/4095, 4375/4374, 78125/78078, 823875/823543 | ||
| {{ | | {{Mapping| 1600 2536 3715 4492 5535 5921 }} | ||
| | | −0.0087 | ||
| 0.0356 | | 0.0356 | ||
| 4.75 | | 4.75 | ||
| Line 57: | Line 57: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 2500/2499, 3025/3024, 4096/4095, 4375/4374, 14875/14872, 63888/63869 | | 2500/2499, 3025/3024, 4096/4095, 4375/4374, 14875/14872, 63888/63869 | ||
| {{ | | {{Mapping| 1600 2536 3715 4492 5535 5921 6540 }} | ||
| | | −0.0163 | ||
| 0.0331 | | 0.0331 | ||
| 4.41 | | 4.41 | ||
| Line 67: | Line 67: | ||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
|- | |- | ||
! Periods<br | ! Periods<br>per 8ve | ||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br | ! Associated<br>ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 77: | Line 77: | ||
| 162.75 | | 162.75 | ||
| 1125/1024 | | 1125/1024 | ||
| [[ | | [[Crazy]] | ||
|- | |- | ||
| 32 | | 32 | ||
| Line 86: | Line 86: | ||
|- | |- | ||
| 32 | | 32 | ||
| 121\1600<br | | 121\1600<br>(21/1600) | ||
| 90.75<br | | 90.75<br>(15.75) | ||
| 48828125/46294416<br | | 48828125/46294416<br>(?) | ||
| [[Windrose]] | | [[Windrose]] | ||
|- | |- | ||
| 32 | | 32 | ||
| 357\1600<br | | 357\1600<br>(7\1600) | ||
| 267.75<br | | 267.75<br>(5.25) | ||
| 245/143<br | | 245/143<br>(?) | ||
| [[Germanium]] | | [[Germanium]] | ||
|- | |- | ||
| 80 | | 80 | ||
| 629\1600<br | | 629\1600<br>(9\1600) | ||
| 471.75<br | | 471.75<br>(6.75) | ||
| 130/99<br | | 130/99<br>(?) | ||
| [[Tetraicosic]] | | [[Tetraicosic]] | ||
|} | |} | ||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[ | <nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[normal lists|minimal form]] in parentheses if distinct | ||