User:FilterNashi: Difference between revisions

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


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== 56edo ==
==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 equal27.14}}
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!error (¢)
!error (%)
!notations(C=1/1)
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==56edo==
I use this for 2.3.5.7.17.19 subgroup.
I use this for 2.3.5.7.17.19 subgroup.


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see[https://sintel.pythonanywhere.com/result?subgroup=2.3.5.7.17.19&reduce=on&weights=weil&target=&edos=68&submit_edo=submit&commas=] and the page of [[68edo]].
see[https://sintel.pythonanywhere.com/result?subgroup=2.3.5.7.17.19&reduce=on&weights=weil&target=&edos=68&submit_edo=submit&commas=] and the page of [[68edo]].


==Equal temperments for 19-horizon==
==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
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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ed9.90809c~121.113edo [[121edo]] see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5%2C7%2C11%2C13%2C17%2C19&reduce=on&weights=weil&target=&edos=121&submit_edo=submit&commas=]
ed9.90809c~121.113edo [[121edo]] see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5%2C7%2C11%2C13%2C17%2C19&reduce=on&weights=weil&target=&edos=121&submit_edo=submit&commas=]


== Equal temperments for 5-horizon ==
==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=]
[[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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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=]
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=]
==other equal temperaments for 7-horizon==
ed38.80713c~30.9221edo 31edo see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5%2C7&reduce=on&weights=weil&target=&edos=31&submit_edo=submit&commas=]

Revision as of 12:08, 26 January 2025

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.

Building blocks of Pergen(2/1,3/2) MoS scales

2/1

3/2

4/3

9/8

32/27

256/243

2187/2048

Pythagorean comma

Gothic comma

Mystery comma

41-comma

Mercator's comma

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 EPD16.67074cents.

This is about 71.9824EDO, 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[1]

Approximation of prime harmonics in 71.9824edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.29 -1.49 -2.30 -1.34 -0.30 -6.11 -3.76 +3.73 +6.39 +5.18 +6.42
Relative (%) +1.8 -8.9 -13.8 -8.0 -1.8 -36.7 -22.5 +22.4 +38.3 +31.1 +38.5
Steps
(reduced) 		72
(0.017600000000002) 		114
(42.0176) 		167
(23.0352) 		202
(58.0352) 		249
(33.0528) 		266
(50.0528) 		294
(6.0704) 		306
(18.0704) 		326
(38.0704) 		350
(62.0704) 		357
(69.0704)
the intervals and the notations i used
step(s) cents just intervals error (¢) error (%) notations(C=1/1)

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[2]

Approximation of prime harmonics in 30.922edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +3.0 -0.4 +7.8 +7.4 +1.1 -16.5 -15.2 -13.8 +4.8 -8.5 -7.5
Relative (%) +7.8 -1.0 +20.1 +19.1 +2.7 -42.5 -39.3 -35.4 +12.2 -21.8 -19.4
Steps
(reduced) 		31
(0.077999999999999) 		49
(18.078) 		72
(10.156) 		87
(25.156) 		107
(14.234) 		114
(21.234) 		126
(2.312) 		131
(7.312) 		140
(16.312) 		150
(26.312) 		153
(29.312)
the intervals and the notations i used
step(s) cents just intervals error (¢) error (%) notations(C=1/1)

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 hamormonismic, minor minthmic. A rastmic, and a major minthmic, which ends up it's also a grossmic.

see[3]

Approximation of odd harmonics in 57.925edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +3.96 -10.31 +7.95 +7.92 -8.03 -7.21 -6.35 +4.84 -1.27 -8.80 -0.57
Relative (%) +19.1 -49.8 +38.4 +38.2 -38.8 -34.8 -30.7 +23.4 -6.1 -42.5 -2.7
Steps
(reduced) 		92
(34.075) 		134
(18.15) 		163
(47.15) 		184
(10.225) 		200
(26.225) 		214
(40.225) 		226
(52.225) 		237
(5.3) 		246
(14.3) 		254
(22.3) 		262
(30.3)
the intervals and the notations i used
step(s) cents just intervals error (¢) error (%) notations(C=1/1)

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[4]

Approximation of odd harmonics in 18.8edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +12.9 +22.2 +14.2 +25.9 -2.4 +27.6 -28.7 +9.9 +8.9 +27.1 -2.7
Relative (%) +20.3 +34.8 +22.2 +40.5 -3.7 +43.2 -45.0 +15.6 +13.9 +42.4 -4.3
Steps
(reduced) 		30
(11.2) 		44
(6.4) 		53
(15.4) 		60
(3.6) 		65
(8.6) 		70
(13.6) 		73
(16.6) 		77
(1.8) 		80
(4.8) 		83
(7.8) 		85
(9.8)
the intervals and the notations i used
step(s) cents just intervals error (¢) error (%) notations(C=1/1)

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[5]Template:Harmonics in equal27.14

the intervals and the notations i used
step(s) cents just intervals error (¢) error (%) notations(C=1/1)

56edo

I use this for 2.3.5.7.17.19 subgroup.

see[6] and the page of 56edo.

68edo

I use this for 2.3.5.7.17.19 subgroup.

see[7] and the page of 68edo.

Equal temperaments for 19-horizon

ed24.04706c~49.9021edo 50edo see[8] this one can't deal with harmonisma but i'm okay with it

ed14.93521~80.347edo 80edo see[9]

ed11.66952c~102.832edo 103edo see103h

ed9.90809c~121.113edo 121edo see[10]

Equal temperaments for 5-horizon

12edo see[11]

ed63.16848c~18.9968edo 19edo see[12]

34edo see[13]

ed22.64371c~52.9948edo 53edo see[14]

other equal temperaments for 7-horizon

ed38.80713c~30.9221edo 31edo see[15]

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