User:FilterNashi: Difference between revisions

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==ed16.67074¢==
==ed16.67617¢==
This segment is about the [[equal temperament]] of [[EPD]]16.67074[[cents]].
This segment is about the [[equal temperament]] of [[EPD]]16.67617[[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.
This is about 71.9589[[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]].
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]].
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}}
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|71.9589}}
{| class="wikitable"
{| class="wikitable"
|+the intervals and the notations i used
|+the intervals and the notations i used
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|}
|}


==ed14.98961¢==
==ed14.96977¢==
This segment is about the equal temperament of EPD14.98961cents.
This segment is about the equal temperament of EPD14.96977cents.


This is about 80.05545EDO, so it's simply an alternative tuning of [[80edo]]. The comma basis, mappings, etc. show up as same as 80edo.
This is about 80.1615EDO, so it's simply an alternative tuning of [[80edo]]. The comma basis, mappings, etc. show up as same as 80edo.


I use this for 2.3.5.7.11.17.19 subgroup.
I use this for 2.3.5.7.11.17.19 subgroup.


see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5%2C7%2C11%2C17%2C19&reduce=on&weights=weil&target=&edos=80&submit_edo=submit&commas=]{{Harmonics in equal|80.05545}}
see[https://sintel.pythonanywhere.com/result?subgroup=2%2C3%2C5%2C7%2C11%2C17%2C19&reduce=on&weights=weil&target=&edos=80&submit_edo=submit&commas=]{{Harmonics in equal|80.1615}}
{| class="wikitable"
{| class="wikitable"
|+the intervals and the notations i used
|+the intervals and the notations i used

Revision as of 12:00, 21 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

...

ed16.67617¢

This segment is about the equal temperament of EPD16.67617cents.

This is about 71.9589EDO, 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 71.9589edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.69 -0.87 -1.39 -0.24 +1.05 -4.66 -2.16 +5.40 +8.16 +7.09 -8.31
Relative (%) +4.1 -5.2 -8.3 -1.4 +6.3 -28.0 -12.9 +32.4 +48.9 +42.5 -49.9
Steps
(reduced) 		72
(0.0411) 		114
(42.0411) 		167
(23.0822) 		202
(58.0822) 		249
(33.1233) 		266
(50.1233) 		294
(6.1644) 		306
(18.1644) 		326
(38.1644) 		350
(62.1644) 		356
(68.1644)
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)

ed14.96977¢

This segment is about the equal temperament of EPD14.96977cents.

This is about 80.1615EDO, so it's simply an alternative tuning of 80edo. The comma basis, mappings, etc. show up as same as 80edo.

I use this for 2.3.5.7.11.17.19 subgroup.

see[4]

Approximation of prime harmonics in 80.1615edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -2.42 -0.79 -1.93 -0.63 -4.69 +5.50 +5.13 +7.18 +5.76 -6.33 -2.03
Relative (%) -16.2 -5.3 -12.9 -4.2 -31.3 +36.7 +34.3 +48.0 +38.4 -42.3 -13.6
Steps
(reduced) 		80
(80) 		127
(46.8385) 		186
(25.677) 		225
(64.677) 		277
(36.5155) 		297
(56.5155) 		328
(7.354) 		341
(20.354) 		363
(42.354) 		389
(68.354) 		397
(76.354)
the intervals and the notations i used
step(s) cents just intervals error (¢) error (%) notations(C=1/1)

68edo

I use this for 2.3.5.7.17.19 subgroup.

see[5] and the page of 68edo

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