31edo: Difference between revisions

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=== Interval mappings ===
=== Interval mappings ===
{{Q-odd-limit intervals|31}}
{{Q-odd-limit intervals|31}}
=== 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
|-
| [[127zpi]]
| 30.9783816349790
| 38.7366910944446
| 7.003472
| 1.403777
| 17.739476
| 31edo
| 1200.83742392778
| 12
| 9
|}


== Regular temperament properties ==
== Regular temperament properties ==
Line 1,290: Line 1,321:
|}
|}
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
== 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
|-
| [[127zpi]]
| 30.9783816349790
| 38.7366910944446
| 7.003472
| 1.403777
| 17.739476
| 31edo
| 1200.83742392778
| 12
| 9
|}


== Instruments ==
== Instruments ==