58edo: Difference between revisions
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=== Interval mappings === | === Interval mappings === | ||
{{15-odd-limit|58}} | {{15-odd-limit|58}} | ||
=== Zeta peak index === | |||
{| class="wikitable center-all" | |||
! colspan="3" | Tuning | |||
! colspan="3" | Strength | |||
! colspan="2" | Closest edo | |||
! colspan="2" | Integer limit | |||
|- | |||
! ZPI | |||
! Steps per octave | |||
! Step size (cents) | |||
! Height | |||
! Integral | |||
! Gap | |||
! Edo | |||
! Octave (cents) | |||
! Consistent | |||
! Distinct | |||
|- | |||
| [[289zpi]] | |||
| 58.0667185533159 | |||
| 20.6658827964969 | |||
| 7.814035 | |||
| 1.358357 | |||
| 18.056292 | |||
| 58edo | |||
| 1198.62120219682 | |||
| 16 | |||
| 12 | |||
|} | |||
== Regular temperament properties == | == Regular temperament properties == | ||
Line 510: | Line 540: | ||
| 2048/2025, [[1594323/1562500]] | | 2048/2025, [[1594323/1562500]] | ||
| {{mapping| 58 92 135 }} | | {{mapping| 58 92 135 }} | ||
| | | −1.29 | ||
| 1.22 | | 1.22 | ||
| 5.89 | | 5.89 | ||
Line 517: | Line 547: | ||
| 126/125, 1728/1715, 2048/2025 | | 126/125, 1728/1715, 2048/2025 | ||
| {{mapping| 58 92 135 163 }} | | {{mapping| 58 92 135 163 }} | ||
| | | −1.29 | ||
| 1.05 | | 1.05 | ||
| 5.10 | | 5.10 | ||
Line 524: | Line 554: | ||
| 126/125, 176/175, 243/242, 896/891 | | 126/125, 176/175, 243/242, 896/891 | ||
| {{mapping| 58 92 135 163 201 }} | | {{mapping| 58 92 135 163 201 }} | ||
| | | −1.45 | ||
| 1.00 | | 1.00 | ||
| 4.83 | | 4.83 | ||
Line 531: | Line 561: | ||
| 126/125, 144/143, 176/175, 196/195, 364/363 | | 126/125, 144/143, 176/175, 196/195, 364/363 | ||
| {{mapping| 58 92 135 163 201 215 }} | | {{mapping| 58 92 135 163 201 215 }} | ||
| | | −1.56 | ||
| 0.94 | | 0.94 | ||
| 4.56 | | 4.56 | ||
Line 538: | Line 568: | ||
| 126/125, 136/135, 144/143, 176/175, 196/195, 364/363 | | 126/125, 136/135, 144/143, 176/175, 196/195, 364/363 | ||
| {{mapping| 58 92 135 163 201 215 237 }} | | {{mapping| 58 92 135 163 201 215 237 }} | ||
| | | −1.28 | ||
| 1.10 | | 1.10 | ||
| 5.33 | | 5.33 | ||
Line 654: | Line 684: | ||
58et can also be detempered to [[semihemi]] (58 & 140), [[supers]] (58 & 152), [[condor]] (58 & 159), and [[eagle]] (58 & 212). | 58et can also be detempered to [[semihemi]] (58 & 140), [[supers]] (58 & 152), [[condor]] (58 & 159), and [[eagle]] (58 & 212). | ||
== Scales == | == Scales == | ||
* [[Compdye]] | * [[Compdye]] |