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Created page with "{| class="wikitable" ! rowspan="2" | 律制/Scale !! rowspan="2" | 级/Level !! colspan="3" | 1 !! colspan="2" | 2 !! 3 |- ! [-19 12⟩ !! 81/80 !! [..."
 
Zhenlige (talk | contribs)
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{| class="wikitable"
{| class="wikitable"
! rowspan="2" | 律制/Scale !! rowspan="2" | 级/Level !! colspan="3" | 1 !! colspan="2" | 2 !! 3
! rowspan="2" | 律制/Temperament !! rowspan="2" | 级/Level !! colspan="3" | 1 !! colspan="2" | 2 !! 3
|-
|-
! [[Pythagorean comma|[-19 12⟩]] !! [[81/80]] !! [[64/63]] !! [[Schisma]] !! [[5120/5103|P1<sup>5</sup><sub>7</sub>]] !! [[Atom]]
! [[Pythagorean comma|[-19 12⟩]] !! [[81/80]] !! [[64/63]] !! [[Schisma]] !! [[5120/5103|P1<sup>5</sup><sub>7</sub>]] !! [[Atom]]
|-
|-
| '''[[12edo|12]]''' || '''1''' || 0 || 0 || 0
| '''[[12edo|12]]''' || '''1''' || 0 || 0 || 0 || 0 || 0 || 0
|-
|-
| [[19edo|19]] || 1.x || -1 || 0 || 1
| [[19edo|19]] || 1.x || -1 || 0 || 1 || -1 || 1 || 11
|-
|-
| [[22edo|22]] || 1.x || 2 || 1 || 0
| [[22edo|22]] || 1.x || 2 || 1 || 0 || 1 || -1 || -10
|-
|-
| [[31edo|31]] || 1.x
| [[31edo|31]] || 1.x || -1 || 0 || 1 || -1 || 1 || 11
|-
|-
| '''[[53edo|53]]''' || '''2'''
| '''[[53edo|53]]''' || '''2''' || 1 || 1 || 1 || 0 || 0 || 1
|-
|-
| [[94edo|94]] || 2.x
| [[94edo|94]] || 2.x || 2 || 2 || 2 || 0 || 0 || 2
|-
|-
| 118 || 2.x
| 118 || 2.x
Line 22: Line 22:
| '''311''' || ?
| '''311''' || ?
|}
|}
{| class="wikitable"
! [[7edo]]
|-
! "too flat"
|-
! [[19edo]]
|-
! [[meantone]]
|-
! [[12edo]]
|-
! subpyth
|-
! [[65edo]]
|-
! sub-nearpyth
|-
! [[53edo]]
|-
! near-[[Pythagorean tuning|Pyth]]
|-
! [[41edo]]
|-
! [[Logarithmic approximants#Argent temperament|argent]]
|-
! [[29edo]]
|-
! [[Gentle region|gentle]]
|-
! [[17edo]]
|-
! [[superpyth]]
|-
! [[22edo]]
|-
! "too sharp"
|-
! [[5edo]]
|}
{{Harmonics in equal|72|columns=30}}
{{Harmonics in equal|72|2.0009519042274389297131427052054|1|columns=30|title=Approximation of prime harmonics in 380zpi|intervals=prime}}
{| class="wikitable"
|+Argent dual: P5/P4 in one tuning = m7/P5 in the other
|[[5edo]]||[[7edo]]
|-
|[[12edo]]||[[17edo]]
|-
|[[19edo]]||[[27edo]]
|-
|[[22edo]]||[[31edo]]
|-
|[[29edo]]||[[41edo]]
|-
|[[46edo]]||[[65edo]]
|-
|[[50edo]]||[[71edo]]
|-
|[[53edo]]||[[75edo]]
|-
|[[70edo]]||[[99edo]]
|-
|[[94edo]]||[[133edo]]
|-
|[[118edo]]||[[167edo]]
|-
|[[171edo]]||[[242edo]]
|}
The argent approximation starts to break down over this point.
{{Lumatone mapping|
{{../Luma chain demisharp|x=0|y=4|dx=1|dy=1|base=B|min=4}}
{{../Luma chain demisharp|x=0|y=3|dx=1|dy=1|base=C|min=3}}
{{../Luma chain demisharp|x=2|y=4|dx=1|dy=1|base=D|min=0}}
{{../Luma chain demisharp|x=4|y=5|dx=1|dy=1|base=E|min=-3}}
{{../Luma chain demisharp|x=4|y=4|dx=1|dy=1|base=F}}
{{../Luma chain demisharp|x=6|y=5|dx=1|dy=1|base=G}}
{{../Luma chain demisharp|x=8|y=6|dx=1|dy=1|base=A}}
{{../Luma chain demisharp|x=10|y=7|dx=1|dy=1|base=B}}
{{../Luma chain demisharp|x=10|y=6|dx=1|dy=1|base=C}}
{{../Luma chain demisharp|x=12|y=7|dx=1|dy=1|base=D}}
{{../Luma chain demisharp|x=14|y=8|dx=1|dy=1|base=E}}
{{../Luma chain demisharp|x=14|y=7|dx=1|dy=1|base=F}}
{{../Luma chain demisharp|x=16|y=8|dx=1|dy=1|base=G}}
{{../Luma chain demisharp|x=18|y=9|dx=1|dy=1|base=A}}
{{../Luma chain demisharp|x=20|y=10|dx=1|dy=1|base=B}}
{{../Luma chain demisharp|x=20|y=9|dx=1|dy=1|base=C}}
{{../Luma chain demisharp|x=22|y=10|dx=1|dy=1|base=D}}
{{../Luma chain demisharp|x=24|y=11|dx=1|dy=1|base=E}}
{{../Luma chain demisharp|x=24|y=10|dx=1|dy=1|base=F}}
{{../Luma chain demisharp|x=26|y=11|dx=1|dy=1|base=G}}
{{../Luma chain demisharp|x=28|y=12|dx=1|dy=1|base=A}}
{{../Luma chain demisharp|x=30|y=13|dx=1|dy=1|base=B}}
{{../Luma chain demisharp|x=30|y=12|dx=1|dy=1|base=C}}
{{../Luma chain demisharp|x=32|y=13|dx=1|dy=1|base=D}}
{{../Luma chain demisharp|x=34|y=14|dx=1|dy=1|base=E}}
{{../Luma chain demisharp|x=34|y=13|dx=1|dy=1|base=F}}
{{../Luma chain demisharp|x=36|y=14|dx=1|dy=1|base=G|max=1}}
{{../Luma chain demisharp|x=38|y=15|dx=1|dy=1|base=A|max=-2}}
}}
== Symmetrical MOS scales ==
{|
|[[2L 1s]]||LsL
|-
|[[1L 2s]]||sLs
|-
|[[4L 1s]]||LLsLL
|-
|[[3L 2s]]||LsLsL
|-
|[[2L 3s]]||sLsLs
|-
|[[1L 4s]]||ssLss
|-
|''[[4L 2s]]''||''LsLLsL''
|-
|''[[2L 4s]]''||''sLssLs''
|-
|[[6L 1s]]||LLLsLLL
|-
|[[5L 2s]]||LsLLLsL
|-
|[[4L 3s]]||LsLsLsL
|-
|[[3L 4s]]||sLsLsLs
|-
|[[2L 5s]]||sLsssLs
|-
|[[1L 6s]]||sssLsss
|}
== Interval names ==
{| class="wikitable"
|+
! Interval !! Name
|-
| [[1/1]] || (Perfect) unison
|-
| [[5120/5103]] || Argent comma
|-
| [[81/80]] || Classical comma
|-
| [[64/63]] || Archy comma
|-
| [[28/27]] || Archy minor second
|-
| [[25/24]] || Classical chroma
|-
| [[21/20]] || Argent minor second
|-
| [[256/243]] || (Diatonic) minor second
|-
| [[135/128]] || Semi-classical chroma
|-
| [[16/15]] || Classical minor second
|-
| [[2187/2048]] || (Diatonic) chroma
|-
| [[15/14]] || Argent chroma
|-
| [[243/224]] || Semi-archy chroma
|-
| [[54/49]] || Archy chroma
|-
| [[10/9]] || Classical major second
|-
| [[9/8]] || (Diatonic) major second
|-
| [[640/567]] || Argent major second
|-
| [[8/7]] || Archy major second
|-
| [[7/6]] || Archy minor third
|-
| [[189/160]] || Argent minor third
|-
| [[32/27]] || (Diatonic) minor third
|-
| [[6/5]] || Classical minor third
|-
| [[5/4]] || Classical major third
|-
| [[81/64]] || (Diatonic) major third
|-
| [[80/63]] || Argent major third
|-
| [[9/7]] || Archy major third
|-
| [[21/16]] || Archy fourth
|-
| [[1701/1280]] || Argent fourth
|-
| [[4/3]] || (Perfect) fourth
|-
| [[27/20]] || Classical fourth
|-
| [[49/36]] || Archy diminished fifth
|-
| [[112/81]] || Semi-archy diminished fifth
|-
| [[25/18]] || Classical augmented fourth
|-
| [[7/5]] || Argent diminished fifth
|-
| [[1024/729]] || (Diatonic) diminished fifth
|-
| [[45/32]] || Semi-classical augmented fourth
|-
| [[64/45]] || Semi-classical diminished fifth
|-
| [[729/512]] || (Diatonic) augmented fourth
|-
| [[10/7]] || Argent augmented fourth
|-
| [[36/25]] || Classical diminished fifth
|-
| [[81/56]] || Semi-archy augmented fourth
|-
| [[72/49]] || Archy augmented fourth
|-
| [[40/27]] || Classical fifth
|-
| [[3/2]] || (Perfect) fifth
|-
| [[2560/1701]] || Argent fifth
|-
| [[32/21]] || Archy fifth
|}
=='''TEST'''==
[[12edo|<span style="color:var(--color-base,#202122)">this is a link</span>]]
Retrieved from "https://en.xen.wiki/w/User:Zhenlige/Sandbox"