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FilterNashi

Joined 11 January 2025
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Prefer music genres like jazz, electronic, and tradition/folk music.
Prefer music genres like jazz, electronic, and tradition/folk music.


==Building blocks of Pergen(2/1,3/2) MoS scales==
[[Octave|2/1]]


[[3/2]]
Subpages of this page:


[[4/3]]
[[User:FilterNashi/commas]]


[[9/8]]
[[User:FilterNashi/Temperaments_and_tuning_methods]]


[[32/27]]
[[User:FilterNashi/Building_blocks_of_Pergen(2/1,3/2)_MoS_scales]]
 
[[Category:User zh-N]]
[[256/243]]
[[Category:User en-2]]
 
[[Category:User ja-1]]
[[2187/2048]]
 
[[Pythagorean comma]]
 
[[Gothic comma]]
 
[[Mystery comma]]
 
[[41-comma]]
 
[[Mercator's comma]]
 
[[Stearnsmic clan#Garistearn|Garistearn comma, [149 -94⟩]]
 
[233 -147⟩
 
[317 -200⟩
 
[401 -253⟩
 
[[Qian's small comma]]
 
[[Qian's large comma]]
 
[[Satanic comma]]
 
...
 
==ed16.67074¢==
This segment is about the [[equal temperament]] of [[EPD]]16.67074[[cents]].
 
This is about 71.9824[[EDO]], so it's simply an alternative tuning of [[72edo]]. The [[comma basis]], [[mappings]], etc. show up as same as 72edo.
 
I use this for 2.3.5.7.11.17.19 [[subgroup]].
 
72edo didn't work well with 2.3.7.11.13 subgroup because it can't deal with the [[Harmonisma]], and map it to 1 [[step]].
 
see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5%2C7%2C11%2C17%2C19&reduce=on&weights=weil&target=&edos=72&submit_edo=submit&commas=%5B-569+359%3E]{{Harmonics in equal|71.9824}}
{| class="wikitable"
|+the intervals and the notations i used
![[Step|step(s)]]
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![[Just interval|just intervals]]
!error (¢)
!error (%)
!notations(C=1/1)
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==ed38.80714¢==
This segment is about the equal temperament of EPD38.80714cents.
 
This is about 30.922EDO, so it's simply an alternative tuning of [[31edo]]. The comma basis, mappings, etc. show up as same as 31edo.
 
I use this for 2.3.5.7.11 subgroup.
 
see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5%2C7%2C11&reduce=on&weights=weil&target=&edos=31&submit_edo=submit&commas=%5B-569+359%3E]{{Harmonics in equal|30.922}}
{| class="wikitable"
|+the intervals and the notations i used
![[Step|step(s)]]
![[cents]]
![[Just interval|just intervals]]
!error (¢)
!error (%)
!notations(C=1/1)
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==ed20.71628¢==
This segment is about the equal temperament of EPD20.71628cents.
 
This is about 57.925EDO, so it's simply an alternative tuning of [[58edo]]. The comma basis, mappings, etc. show up as same as 58edo.
 
I use this for 2.3.5.7.11.13 subgroup.
 
This is a [[parahemif]].
 
see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5%2C7%2C11%2C13&reduce=on&weights=weil&target=&edos=58&submit_edo=submit&commas=]{{Harmonics in equal|57.925}}
{| class="wikitable"
|+the intervals and the notations i used
![[Step|step(s)]]
![[cents]]
![[Just interval|just intervals]]
!error (¢)
!error (%)
!notations(C=1/1)
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==ed63.77698¢==
This segment is about the equal temperament of EPD63.77698cents.
 
This is about 18.8EDO, so it's simply an alternative tuning of [[19edo]]. The comma basis, mappings, etc. show up as same as 19edo.
 
I use this for 2.3.5.7 subgroup.
 
see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5%2C7&reduce=on&weights=weil&target=&edos=19&submit_edo=submit&commas=10648%2F10647]{{Harmonics in equal|18.8}}
{| class="wikitable"
|+the intervals and the notations i used
![[Step|step(s)]]
![[cents]]
![[Just interval|just intervals]]
!error (¢)
!error (%)
!notations(C=1/1)
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==ed44.21793¢==
This segment is about the equal temperament of EPD44.21793cents.
 
This is about 27.1383EDO, so it's simply an alternative tuning of [[27edo]]. The comma basis, mappings, etc. show up as same as 27edo.
 
I use this for 2.3.5.7 subgroup.
 
see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5%2C7&reduce=on&weights=weil&target=&edos=27&submit_edo=submit&commas=]{{Harmonics in equal|27.14}}
{| class="wikitable"
|+the intervals and the notations i used
![[Step|step(s)]]
![[cents]]
![[Just interval|just intervals]]
!error (¢)
!error (%)
!notations(C=1/1)
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==56edo==
I use this for 2.3.5.7.17.19 subgroup.
 
see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5%2C7%2C11%2C19&reduce=on&weights=weil&target=&edos=56&submit_edo=submit&commas=] and the page of [[56edo]].
 
This is a [[meantone]] and it map [[513/512]] to -1 step.
 
==Equal temperaments for 19-horizon==
ed24.04706c~49.9021edo [[50edo]] see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5%2C7%2C11%2C13%2C17%2C19&reduce=on&weights=weil&target=&edos=50&submit_edo=submit&commas=] this one can't deal with harmonisma but i'm okay with it
 
ed14.93521~80.347edo [[80edo]] see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5%2C7%2C11%2C13%2C17%2C19&reduce=on&weights=weil&target=&edos=80&submit_edo=submit&commas=] this is a [[gentle]].
 
==Equal temperaments for 5-horizon==
[[12edo]] see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5&reduce=on&weights=weil&target=&edos=12&submit_edo=submit&commas=]
 
ed63.16848c~18.9968edo 19edo see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5&reduce=on&weights=weil&target=&edos=19&submit_edo=submit&commas=]
 
[[34edo]] see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5&reduce=on&weights=weil&target=&edos=34&submit_edo=submit&commas=]
 
ed22.64371c~52.9948edo [[53edo]] see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5&reduce=on&weights=weil&target=&edos=53&submit_edo=submit&commas=]
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