VectorGraphics: Created page with "{{Breadcrumb|Valentine}} === Semi-equalized Armodue === One step of 16edo (75 cents) is nearly equal to two steps (2\31) of 31edo (77.42 cents). If we take the latter as a base, we get semi-equalized Armodue. In this temperament there is inevitably a smaller microtone (eka between the notes '7#' and '8'). leading to the 16 note MOS Valentine[16] of valentine temperament. Similarly we might use three steps of 46edo,..."

2025-04-11T01:33:26Z

Created page with "{{Breadcrumb|Valentine}} === Semi-equalized Armodue === One step of 16edo (75 cents) is nearly equal to two steps (2\31) of 31edo (77.42 cents). If we take the latter as a base, we get semi-equalized Armodue. In this temperament there is inevitably a smaller microtone (eka between the notes '7#' and '8'). leading to the 16 note MOS Valentine[16] of valentine temperament. Similarly we might use three steps of 46edo,..."

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{{Breadcrumb|Valentine}}

=== Semi-equalized Armodue ===
One step of 16edo (75 cents) is nearly equal to two steps (2\31) of [[31edo]] (77.42 cents). If we take the latter as a base, we get semi-equalized Armodue. In this temperament there is inevitably a smaller microtone (eka between the notes '7#' and '8'). leading to the 16 note MOS Valentine[16] of [[Starling temperaments#Valentine temperament|valentine temperament]]. Similarly we might use three steps of [[46edo]], 3\46, 78.26 cents, or five steps of [[77edo]], 77.92 cents.

Semi-equalized Armodue provides a balance between the symmetry of the equalized system and the purity of natural intervals: intervals of semi-equalized Armodue are very pure, and at the same time it preserves the symmetry of the equalized system and its interval sizes almost unchanged.
{| class="wikitable"
!Armodue note
!cents (16edo)
!cents (semi-equalized Armodue based on [[31edo]])
|-
|1
|0
|0
|-
|1#
|75
|77.42
|-
|2
|150
|154.84
|-
|2#
|225
|232.26
|-
|3
|300
|309.68
|-
|3#
|375
|387.10
|-
|4
|450
|464.52
|-
|5
|525
|541.94
|-
|5#
|600
|619.35
|-
|6
|675
|696.77
|-
|6#
|750
|774.19
|-
|7
|825
|851.61
|-
|7#
|900
|929.03
|-
|8
|975
|967.74
|-
|8#
|1050
|1045.16
|-
|9
|1125
|1122.58
|}

Valentine scales - Revision history