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| [[User:FilterNashi/commas]] | | [[User:FilterNashi/commas]] |
| | | [[User:FilterNashi/Temperaments_and_tuning_methods]] |
| ==Building blocks of Pergen(2/1,3/2) MoS scales==
| | [[User:FilterNashi/Building_blocks_of_Pergen(2/1,3/2)_MoS_scales]] |
| [[Octave|2/1]]
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| [[3/2]]
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| [[4/3]]
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| [[9/8]]
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| [[32/27]]
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| [[256/243]]
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| [[2187/2048]]
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| [[Pythagorean comma]]
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| [[Gothic comma]]
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| [[Mystery comma]]
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| [[41-comma]]
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| [[Mercator's comma]]
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| [[Stearnsmic clan#Garistearn|Garistearn comma, [149 -94⟩]]
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| [233 -147⟩
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| [317 -200⟩
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| [401 -253⟩
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| [[Qian's small comma]]
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| [[Qian's large comma]]
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| [[Satanic comma]]
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| ...
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| ==ed16.67074¢==
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| This segment is about the [[equal temperament]] of [[EPD]]16.67074[[cents]].
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| 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.
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| I use this for 2.3.5.7.11.17.19 [[subgroup]].
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| 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]].
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| 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}}
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| |+the intervals and the notations i used
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| ![[Step|step(s)]]
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| ![[cents]]
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| ![[Just interval|just intervals]]
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| !error (¢)
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| !error (%)
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| !notations(C=1/1)
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| ==ed38.80714¢==
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| This segment is about the equal temperament of EPD38.80714cents.
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| 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.
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| I use this for 2.3.5.7.11 subgroup.
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| 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}}
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| {| class="wikitable"
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| |+the intervals and the notations i used
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| ![[Step|step(s)]]
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| ![[cents]]
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| ![[Just interval|just intervals]]
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| !error (¢)
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| !error (%)
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| !notations(C=1/1)
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| ==ed20.71628¢==
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| This segment is about the equal temperament of EPD20.71628cents.
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| 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.
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| I use this for 2.3.5.7.11.13 subgroup.
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| This is a [[parahemif]].
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| 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}}
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| {| class="wikitable"
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| |+the intervals and the notations i used
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| ![[Step|step(s)]]
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| ![[cents]]
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| ![[Just interval|just intervals]]
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| !error (¢)
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| !error (%)
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| !notations(C=1/1)
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| |}
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| ==ed63.77698¢==
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| This segment is about the equal temperament of EPD63.77698cents.
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| 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.
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| I use this for 2.3.5.7 subgroup.
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| 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}}
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| {| class="wikitable"
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| |+the intervals and the notations i used
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| ![[Step|step(s)]]
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| ![[cents]]
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| ![[Just interval|just intervals]]
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| !error (¢)
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| !error (%)
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| !notations(C=1/1)
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| ==ed44.21793¢==
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| This segment is about the equal temperament of EPD44.21793cents.
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| 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.
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| I use this for 2.3.5.7 subgroup.
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| 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}}
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| {| class="wikitable"
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| |+the intervals and the notations i used
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| ![[Step|step(s)]]
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| ![[cents]]
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| ![[Just interval|just intervals]]
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| !error (¢)
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| !error (%)
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| !notations(C=1/1)
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| ==56edo==
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| I use this for 2.3.5.7.17.19 subgroup.
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| 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]].
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| This is a [[meantone]] and it map [[513/512]] to -1 step.
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| ==Equal temperaments for 19-horizon==
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| 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
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| ed14.93521c~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]].
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| ==Equal temperaments for 5-horizon==
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| [[12edo]] see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5&reduce=on&weights=weil&target=&edos=12&submit_edo=submit&commas=]
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| 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=]
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| [[34edo]] see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5&reduce=on&weights=weil&target=&edos=34&submit_edo=submit&commas=]
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| 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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| ==Tuning methods==
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| For 2.3.5.19 subgroup, i need a meantone while also separate the [[19/16]] and [[6/5]] in the right position. This requires a [[96/95]] on positive size, so 513/512 is on negative size.
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| 50edo and 56edo can handle this.
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| For 13-horizon, i need a gentle or parahemif while also mapping [[91/90]], [[77/78]], [[66/65]], [[55/54]], [[65/64]], [[56/55]], [[99/98]] on positive sizes.
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| [[41edo]], 58edo are parahemifs would handle this.
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| 80edo, [[87edo]] are gentles would handle this.
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Native Chinese Mandarin speaker. Also speak some basic English and Japanese.
Amateur DTM trackmaker and willing to do musicology research.
Prefer music genres like jazz, electronic, and tradition/folk music.
Subpages of this page:
User:FilterNashi/commas
User:FilterNashi/Temperaments_and_tuning_methods
User:FilterNashi/Building_blocks_of_Pergen(2/1,3/2)_MoS_scales