58edo: Difference between revisions

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Line 494: Line 494:
=== 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
| −1.29
| 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
| −1.29
| 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
| −1.45
| 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
| −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
| −1.28
| 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).


== Zeta properties ==
===Zeta peak index===
{| class="wikitable"
! 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
|}
== Scales ==
== Scales ==
* [[Compdye]]
* [[Compdye]]