80edo: Difference between revisions
m →Music: style |
→Regular temperament properties: - edo joins. Most of them have been named. Fix leapfrog generator |
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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 | ||
|- | |- | ||
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|- | |- | ||
| 2.3 | | 2.3 | ||
| {{ | | {{Monzo| 127 -80 }} | ||
| {{ | | {{Mapping| 80 127 }} | ||
| −0.961 | | −0.961 | ||
| 0.960 | | 0.960 | ||
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| 2.3.5 | | 2.3.5 | ||
| 2048/2025, 390625000/387420489 | | 2048/2025, 390625000/387420489 | ||
| {{ | | {{Mapping| 80 127 186 }} | ||
| −1.169 | | −1.169 | ||
| 0.837 | | 0.837 | ||
Line 576: | Line 576: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 1728/1715, 2048/2025, 3136/3125 | | 1728/1715, 2048/2025, 3136/3125 | ||
| {{ | | {{Mapping| 80 127 186 225 }} | ||
| −1.426 | | −1.426 | ||
| 0.851 | | 0.851 | ||
Line 583: | Line 583: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 176/175, 540/539, 896/891, 1331/1323 | | 176/175, 540/539, 896/891, 1331/1323 | ||
| {{ | | {{Mapping| 80 127 186 225 277 }} | ||
| −1.353 | | −1.353 | ||
| 0.775 | | 0.775 | ||
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| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 169/168, 176/175, 325/324, 364/363, 540/539 | | 169/168, 176/175, 325/324, 364/363, 540/539 | ||
| {{ | | {{Mapping| 80 127 186 225 277 296 }} | ||
| −1.105 | | −1.105 | ||
| 0.901 | | 0.901 | ||
Line 597: | Line 597: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 136/135, 169/168, 176/175, 221/220, 364/363, 540/539 | | 136/135, 169/168, 176/175, 221/220, 364/363, 540/539 | ||
| {{ | | {{Mapping| 80 127 186 225 277 296 327 }} | ||
| −0.949 | | −0.949 | ||
| 0.917 | | 0.917 | ||
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| 2.3.5.7.11.13.17.19 | | 2.3.5.7.11.13.17.19 | ||
| 136/135, 169/168, 176/175, 190/189, 221/220, 364/363, 400/399 | | 136/135, 169/168, 176/175, 190/189, 221/220, 364/363, 400/399 | ||
| {{ | | {{Mapping| 80 127 186 225 277 296 327 340 }} | ||
| −0.903 | | −0.903 | ||
| 0.867 | | 0.867 | ||
Line 611: | Line 611: | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
80et [[support]]s a profusion of 19-limit (and lower) rank-2 temperaments which have mostly not been explored | 80et [[support]]s a profusion of 19-limit (and lower) rank-2 temperaments which have mostly not been explored. | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
Line 673: | Line 661: | ||
| 33\80 | | 33\80 | ||
| 495 | | 495 | ||
| 3 | | 4/3 | ||
| [[Leapfrog | | [[Leapfrog]] | ||
|- | |- | ||
| 1 | | 1 | ||
Line 736: | Line 724: | ||
| [[Degrees]] | | [[Degrees]] | ||
|} | |} | ||
<nowiki/>* [[Normal | <nowiki/>* [[Normal forms|Octave-reduced form]], reduced to the first half-octave, and [[normal forms|minimal form]] in parentheses if distinct | ||
== Detemperaments == | == Detemperaments == |