80edo: Difference between revisions
→Intervals: Fill up a blank in the table |
→Rank-2 temperaments: +some RTT data |
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<nowiki>*</nowiki> based on treating 80edo as a [[29-limit]] temperament; other approaches are possible. Inconsistent interpretations in italic. | <nowiki>*</nowiki> based on treating 80edo as a [[29-limit]] temperament; other approaches are possible. Inconsistent interpretations in italic. | ||
== Rank-2 temperaments == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" | Subgroup | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br>8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |||
| 2.3 | |||
| {{monzo| 127 -80 }} | |||
| [{{val| 80 127 }}] | |||
| -0.961 | |||
| 0.960 | |||
| 6.40 | |||
|- | |||
| 2.3.5 | |||
| 2048/2025, 390625000/387420489 | |||
| [{{val| 80 127 186}}] | |||
| -1.169 | |||
| 0.837 | |||
| 5.59 | |||
|- | |||
| 2.3.5.7 | |||
| 1728/1715, 2048/2025, 3136/3125 | |||
| [{{val| 80 127 186 225 }}] | |||
| -1.426 | |||
| 0.851 | |||
| 5.68 | |||
|- | |||
| 2.3.5.7.11 | |||
| 176/175, 540/539, 896/891, 1331/1323 | |||
| [{{val| 80 127 186 225 277 }}] | |||
| -1.353 | |||
| 0.775 | |||
| 5.17 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 169/168, 176/175, 325/324, 364/363, 540/539 | |||
| [{{val| 80 127 186 225 277 296 }}] | |||
| -1.105 | |||
| 0.901 | |||
| 6.01 | |||
|- | |||
| 2.3.5.7.11.13.17 | |||
| 136/135, 169/168, 176/175, 221/220, 364/363, 540/539 | |||
| [{{val| 80 127 186 225 277 296 327 }}] | |||
| -0.949 | |||
| 0.917 | |||
| 6.12 | |||
|- | |||
| 2.3.5.7.11.13.17.19 | |||
| 136/135, 169/168, 176/175, 190/189, 221/220, 364/363, 400/399 | |||
| [{{val| 80 127 186 225 277 296 327 340 }}] | |||
| -0.903 | |||
| 0.867 | |||
| 5.78 | |||
|} | |||
=== Rank-2 temperaments === | |||
80et supports a profusion of 19-limit (and lower) rank-2 temperaments which have mostly not been explored. We might mention: | 80et supports a profusion of 19-limit (and lower) rank-2 temperaments which have mostly not been explored. We might mention: | ||