User:Zhenlige/Sandbox: Difference between revisions
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 !! [..." |
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{| class="wikitable" | {| class="wikitable" | ||
! rowspan="2" | 律制/ | ! 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 | |||
|} | |||
=='''TEST'''== | |||
<span style="display:inline flex;border:0.125em solid #f00;width:1em;height:1em;align-items:center;justify-content:center;">A</span>aaa | |||