1ed28c: Difference between revisions

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Propose merge
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m Removing from Category:Edonoi using Cat-a-lot
 
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{{Infobox ET|300ed128}}
{{Infobox ET|300ed128}}
'''28-cent equal temperament''' (also known as '''1ed28¢''' or '''APS28¢''') uses equal steps of 28 [[cent]]s each. It is similar to [[43edo]], but has the octaves stretched by 4 cents and a discrepancy for the 7th harmonic.
'''28-cent equal temperament''' ('''28cET''', also known as '''1ed28¢''' or '''APS28¢''') uses equal steps of 28 [[cent]]s each. It is similar to [[43edo]], but has the octaves stretched by 4 cents and a discrepancy for the 7th harmonic.


It can also be thought of as '''1ed187/184''', since [[187/184]] is 27.999 cents.
It can also be thought of as '''1ed187/184''', since [[187/184]] is 27.999 cents.
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[[Category:Equal-step tuning]]
[[Category:Equal-step tuning]]
[[Category:Edonoi]]
{{Stub}}
{{Stub}}

Latest revision as of 19:20, 1 August 2025

Todo: merge articles , explain its xenharmonic value

Merge into 43edo? (in a section titled "stretched and compressed tunings", most likely, focusing on the most important aspects, ideally aspects that make it valuable and not just slightly different)

← 299ed128 300ed128 301ed128 →
Prime factorization 22 × 3 × 52
Step size 28 ¢ 
Octave 43\300ed128 (1204 ¢)
Twelfth 68\300ed128 (1904 ¢) (→ 17\75ed128)
Consistency limit 6
Distinct consistency limit 6

28-cent equal temperament (28cET, also known as 1ed28¢ or APS28¢) uses equal steps of 28 cents each. It is similar to 43edo, but has the octaves stretched by 4 cents and a discrepancy for the 7th harmonic.

It can also be thought of as 1ed187/184, since 187/184 is 27.999 cents.

Harmonics

Approximation of harmonics in 1ed28c
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +4.0 +2.0 +8.0 +13.7 +6.0 -8.8 +12.0 +4.1 -10.3 -7.3 +10.0
Relative (%) +14.3 +7.3 +28.6 +48.9 +21.6 -31.5 +42.9 +14.6 -36.8 -26.1 +35.9
Step 43 68 86 100 111 120 129 136 142 148 154
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