475edo: Difference between revisions
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" |
→Regular temperament properties: + ragitritonic/garitritonic |
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| Line 19: | Line 19: | ||
! 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 26: | Line 26: | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{ | | {{Monzo| 753 -475 }} | ||
| {{ | | {{Mapping| 475 753 }} | ||
| −0.1138 | | −0.1138 | ||
| 0.1138 | | 0.1138 | ||
| Line 33: | Line 33: | ||
|- | |- | ||
| 2.3.5 | | 2.3.5 | ||
| {{ | | {{Monzo| -14 -19 19 }}, {{monzo| 47 -15 -10 }} | ||
| {{ | | {{Mapping| 475 753 1103 }} | ||
| −0.1064 | | −0.1064 | ||
| 0.0935 | | 0.0935 | ||
| Line 44: | Line 44: | ||
|+ 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 55: | Line 55: | ||
| 98304/78125 | | 98304/78125 | ||
| [[Squarschmidt]] | | [[Squarschmidt]] | ||
|- | |||
| 1 | |||
| 233\475 | |||
| 588.63 | |||
| 351/250 | |||
| [[Ragitritonic]] (475d) / [[garitritonic]] (475e) | |||
|- | |- | ||
| 5 | | 5 | ||
| 329\475<br | | 329\475<br>(44\475) | ||
| 831.16<br | | 831.16<br>(111.16) | ||
| 160/99<br | | 160/99<br>(16/15) | ||
| [[Quintosec]] | | [[Quintosec]] | ||
|- | |- | ||
| 19 | | 19 | ||
| 197\475<br | | 197\475<br>(3\475) | ||
| 497.68<br | | 497.68<br>(7.58) | ||
| 4/3<br | | 4/3<br>(225/224) | ||
| [[Enneadecal]] (475d) | | [[Enneadecal]] (475d) | ||
|} | |} | ||
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | <nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | ||