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! # | ! # | ||
! Cents | ! Cents | ||
! Approximate | ! Approximate Ratios* | ||
! colspan="3" | [[Ups and | ! colspan="3" | [[Ups and Downs Notation]] | ||
|- | |- | ||
| 0 | | 0 | ||
| Line 618: | Line 618: | ||
| D | | D | ||
|} | |} | ||
<nowiki /> | <nowiki>*</nowiki> as a 2.3.5.7.13.19.23-subgroup temperament | ||
== Notation == | == Notation == | ||
=== 4L 5s (gramitonic) notation === | === 4L 5s (gramitonic) notation === | ||
The notation of Orwell[9]. Notes are denoted as | The notation of Orwell[9]. Notes are denoted as LsLsLsLss = JKLMNOPQRJ, and raising and lowering by a chroma (L − s), 3 steps in this instance, is denoted by & "amp" and @ "at". | ||
{| class="wikitable center-1 right-2 center-3" | {| class="wikitable center-1 right-2 center-3" | ||
|- | |- | ||
! | ! # | ||
! Cents | ! Cents | ||
! Note | ! Note | ||
! Name | ! Name | ||
! Associated | ! Associated Ratio | ||
|- | |- | ||
| 0 | | 0 | ||
| Line 742: | Line 742: | ||
== Regular temperament properties == | == Regular temperament properties == | ||
{ | {| class="wikitable center-4 center-5 center-6" | ||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[Comma list|Comma List]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br>8ve Stretch (¢) | |||
! colspan="2" | Tuning Error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |- | ||
| 2.3.5 | | 2.3.5 | ||
| Line 761: | Line 769: | ||
| 225/224, 351/350, 640/637, 1701/1690 | | 225/224, 351/350, 640/637, 1701/1690 | ||
| {{mapping| 84 133 195 236 311 }} | | {{mapping| 84 133 195 236 311 }} | ||
| | | -0.013 | ||
| 0.754 | | 0.754 | ||
| 5.28 | | 5.28 | ||
|- style="border-top: double;" | |-style="border-top: double;" | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 225/224, 441/440, 1344/1331, 1728/1715 | | 225/224, 441/440, 1344/1331, 1728/1715 | ||
| {{mapping| 84 133 195 236 291 }} (84) | | {{mapping| 84 133 195 236 291 }} (84) | ||
| | | -0.225 | ||
| 1.003 | | 1.003 | ||
| 7.02 | | 7.02 | ||
| Line 775: | Line 783: | ||
| 144/143, 225/224, 351/350, 441/440, 975/968 | | 144/143, 225/224, 351/350, 441/440, 975/968 | ||
| {{mapping| 84 133 195 236 291 311 }} (84) | | {{mapping| 84 133 195 236 291 311 }} (84) | ||
| | | -0.292 | ||
| 0.928 | | 0.928 | ||
| 6.50 | | 6.50 | ||
|- style="border-top: double;" | |-style="border-top: double;" | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 99/98, 121/120, 176/175, 78732/78125 | | 99/98, 121/120, 176/175, 78732/78125 | ||
| Line 792: | Line 800: | ||
| 1.146 | | 1.146 | ||
| 8.02 | | 8.02 | ||
|} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {| class="wikitable center-all left-5" | ||
! Periods<br>per 8ve | |||
! Generator* | |||
! Cents* | |||
! Associated<br>Ratio* | |||
! Temperaments | |||
|- | |- | ||
| 1 | | 1 | ||
| Line 874: | Line 887: | ||
| 4/3<br>(105/104) | | 4/3<br>(105/104) | ||
| [[Oquatonic]] | | [[Oquatonic]] | ||
|} | |||
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | |||
== Scales == | == Scales == | ||
=== MOS === | === MOS === | ||
Brightest mode is listed. | Brightest mode is listed. | ||
* [[Orwell]] | * [[Orwell]] | ||
** Orwell[9], [[4L 5s]] | ** Orwell[9], [[4L 5s]] - 11 8 11 8 11 8 11 8 8 | ||
** Orwell[13] | ** Orwell[13] - [[9L 4s]] - 8 8 8 3 8 8 3 8 8 3 8 8 3 | ||
** Orwell[22] | ** Orwell[22] - [[13L 9s]] | ||
** Orwell[31] | ** Orwell[31] - [[22L 9s]] | ||
=== Other === | === Other === | ||