Wollemia: Difference between revisions
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The '''wollemia''' [[regular temperament|temperament]] is one of the [[7-limit]] [[extension]]s of [[tetracot]], the [[5-limit]] temperament [[tempering out]] the [[tetracot comma]] (20000/19683), and is naturally a full [[13-limit]] temperament. | The '''wollemia''' [[regular temperament|temperament]] is one of the [[7-limit]] [[extension]]s of [[tetracot]], the [[5-limit]] temperament [[tempering out]] the [[tetracot comma]] (20000/19683), and is naturally a full [[13-limit]] temperament. | ||
In addition to the tetracot comma, wollemia tempers out [[126/125]], making it a [[ | In addition to the tetracot comma, wollemia tempers out [[126/125]], making it a [[starling temperaments|starling temperament]]. | ||
See [[Tetracot family #Wollemia]] for technical data. | |||
{{Todo|inline=1|expand}} | {{Todo|inline=1|expand}} | ||
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== Tunings == | == Tunings == | ||
=== Tuning spectrum === | === Tuning spectrum === | ||
{| class="wikitable center-all left- | {| class="wikitable center-all left-4" | ||
|- | |- | ||
! Edo<br>generator | |||
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]] | ! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]] | ||
! Generator (¢) | ! Generator (¢) | ||
! Comments | ! Comments | ||
|- | |- | ||
| | |||
| 11/10 | | 11/10 | ||
| 165.004 | | 165.004 | ||
| | | | ||
|- | |- | ||
| 1\7 | |||
| | |||
| 171.429 | |||
| 7d val | |||
|- | |||
| | |||
| 11/9 | | 11/9 | ||
| 173.704 | | 173.704 | ||
| | | | ||
|- | |- | ||
| | | | ||
| 11/6 | |||
| 174.894 | | 174.894 | ||
| | | | ||
|- | |- | ||
| | |||
| 11/8 | | 11/8 | ||
| 175.132 | | 175.132 | ||
| | | | ||
|- | |- | ||
| | | | ||
| 3/2 | |||
| 175.489 | | 175.489 | ||
| | | | ||
|- | |- | ||
| | |||
| 13/11 | | 13/11 | ||
| 175.899 | | 175.899 | ||
| | | | ||
|- | |- | ||
| | | | ||
| 15/8 | |||
| 176.021 | | 176.021 | ||
| | | | ||
|- | |- | ||
| | |||
| 5/4 | | 5/4 | ||
| 176.257 | | 176.257 | ||
| 5-odd-limit minimax | | 5-odd-limit minimax | ||
|- | |- | ||
| | | | ||
| 13/9 | |||
| 176.338 | | 176.338 | ||
| | | | ||
|- | |- | ||
| 5\34 | |||
| | |||
| 176.471 | |||
| Lower bound of 7- to 13-odd-limit diamond monotone | |||
|- | |||
| | |||
| 15/13 | | 15/13 | ||
| 176.516 | | 176.516 | ||
| | | | ||
|- | |- | ||
| | | | ||
| 5/3 | |||
| 176.872 | | 176.872 | ||
| | | | ||
|- | |- | ||
| | |||
| 13/10 | | 13/10 | ||
| 176.890 | | 176.890 | ||
| | | | ||
|- | |- | ||
| | |||
| 13/12 | | 13/12 | ||
| 176.905 | | 176.905 | ||
| | | | ||
|- | |- | ||
| | | | ||
| 7/4 | |||
| 177.307 | | 177.307 | ||
| 7-, 9-, 11-, 13- and 15-odd-limit minimax | | 7-, 9-, 11-, 13- and 15-odd-limit minimax | ||
|- | |- | ||
| | | | ||
| 13/7 | |||
| 177.538 | | 177.538 | ||
| | | | ||
|- | |- | ||
| 4\27 | |||
| | |||
| 177.777 | |||
| 27e val, upper bound of 9- to 13-odd-limit diamond monotone<br>15-odd-limit diamond monotone (singleton) | |||
|- | |||
| | |||
| 7/6 | | 7/6 | ||
| 177.791 | | 177.791 | ||
| | | | ||
|- | |- | ||
| | |||
| 7/5 | | 7/5 | ||
| 178.251 | | 178.251 | ||
| | | | ||
|- | |- | ||
| | |||
| 9/7 | | 9/7 | ||
| 178.629 | | 178.629 | ||
| | | | ||
|- | |- | ||
| | |||
| 15/11 | | 15/11 | ||
| 178.984 | | 178.984 | ||
| | | | ||
|- | |- | ||
| | | | ||
| 11/7 | |||
| 179.723 | | 179.723 | ||
| | | | ||
|- | |- | ||
| | | | ||
| 13/8 | |||
| 179.736 | | 179.736 | ||
| | | | ||
|- | |- | ||
| 3\20 | |||
| | |||
| 180.000 | |||
| 20cde val, upper bound of 7-odd-limit diamond monotone | |||
|- | |||
| | |||
| 15/14 | | 15/14 | ||
| 180.093 | | 180.093 | ||
| | | | ||
|- | |- | ||
| | | | ||
| 9/5 | |||
| 182.404 | | 182.404 | ||
| | | | ||