304edo: Difference between revisions

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Theory: Added page for 304edo
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m + It is part of the optimal ET sequence for the hemikwai, hexadecoid, higanbana, insect, kalismic (rank 4), semihemienneadecal and swetismic (rank 4) temperaments.
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro}}
{{EDO intro}}
It is part of the [[optimal ET sequence]] for the [[hemikwai]], [[hexadecoid]], [[higanbana]], [[insect]], [[kalismic]] (rank 4), [[semihemienneadecal]] and [[swetismic]] (rank 4) temperaments.


== Theory ==
== Theory ==
Compared to [[152edo]], which it divides in half, it differs in [[Patent val|patent val]] from the 7-limit onwards. It tempers out [[441/440]], [[5632/5625]], and the [[Seascape comma|seascape comma]].
Compared to [[152edo]], which it divides in half, it differs in [[Patent val|patent val]] from the 7-limit onwards. It tempers out [[441/440]], [[5632/5625]], and the [[Seascape comma|seascape comma]].
{{Harmonics in equal|304}}
{{Harmonics in equal|304}}

Revision as of 00:48, 21 September 2024

← 303edo 304edo 305edo →
Prime factorization 24 × 19
Step size 3.94737 ¢ 
Fifth 178\304 (702.632 ¢) (→ 89\152)
Semitones (A1:m2) 30:22 (118.4 ¢ : 86.84 ¢)
Consistency limit 5
Distinct consistency limit 5

Template:EDO intro

It is part of the optimal ET sequence for the hemikwai, hexadecoid, higanbana, insect, kalismic (rank 4), semihemienneadecal and swetismic (rank 4) temperaments.

Theory

Compared to 152edo, which it divides in half, it differs in patent val from the 7-limit onwards. It tempers out 441/440, 5632/5625, and the seascape comma.

Approximation of prime harmonics in 304edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +0.68 +0.53 -1.72 +1.31 +0.26 +1.62 -1.46 -0.64 +0.69 -0.30
Relative (%) +0.0 +17.1 +13.4 -43.6 +33.3 +6.6 +41.1 -37.0 -16.3 +17.4 -7.6
Steps
(reduced)
304
(0)
482
(178)
706
(98)
853
(245)
1052
(140)
1125
(213)
1243
(27)
1291
(75)
1375
(159)
1477
(261)
1506
(290)