User:FilterNashi: Difference between revisions

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==ed16.680625¢==
==ed16.67616¢==
This segment is about the [[Equal Temperaments]] of [[EPD]] 16.680625 [[Cents]].
This segment is about the [[Equal Temperaments]] of [[EPD]] 16.67616 [[Cents]].


This is about 71.93975[[EDO]], so it's simply an alternative tuning of [[72edo]]. The [[comma basis]], [[Mappings]], etc. show up as same as 72edo.
This is about 71.959[[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 [[13-limit]] [[Interval|Intervals]]. Because it can't deal with the [[Harmonisma]], and map it to 1 [[step]].
72edo didn't work well with [[13-limit]] [[Interval|Intervals]]. 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|71.93975}}
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|71.959}}
{| class="wikitable"
{| class="wikitable"
|+the intervals and the notations i used
|+the intervals and the notations i used

Revision as of 11:46, 20 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

...

ed16.67616¢

This segment is about the Equal Temperaments of EPD 16.67616 Cents.

This is about 71.959EDO, 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 13-limit Intervals. Because it can't deal with the Harmonisma, and map it to 1 step.

see[1]

Approximation of prime harmonics in 71.959edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.68 -0.87 -1.39 -0.24 +1.05 -4.67 -2.16 +5.39 +8.15 +7.08 -8.32
Relative (%) +4.1 -5.2 -8.4 -1.4 +6.3 -28.0 -13.0 +32.3 +48.9 +42.5 -49.9
Steps
(reduced)
72
(0.040999999999997)
114
(42.041)
167
(23.082)
202
(58.082)
249
(33.123)
266
(50.123)
294
(6.164)
306
(18.164)
326
(38.164)
350
(62.164)
356
(68.164)
the intervals and the notations i used
step(s) cents just intervals error (¢) error (%) notations(C=1/1)