238edo: Difference between revisions

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m + It is part of the optimal ET sequence for the apotropaia, enodia, fantastic, gizzard, gracecordial, hecate]], marvell, unimarv (undecimal marvel), vines and wizard temperaments.
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{{EDO intro|238}}
{{EDO intro|238}}


It is part of the [[optimal ET sequence]] for the [[apotropaia]], [[enodia]], [[fantastic]], [[gizzard]], [[gracecordial]], hecate]], [[marvell]], [[unimarv]] (undecimal [[marvel]]), [[vines]] and [[wizard]] temperaments.
It is part of the [[optimal ET sequence]] for the [[apotropaia]], [[enodia]], [[fantastic]], [[gizzard]], [[gracecordial]], [[hecate]], [[marvell]], [[unimarv]] (undecimal [[marvel]]), [[vines]] and [[wizard]] temperaments.


== Theory ==
== Theory ==

Revision as of 23:03, 20 September 2024

← 237edo 238edo 239edo →
Prime factorization 2 × 7 × 17
Step size 5.04202 ¢ 
Fifth 139\238 (700.84 ¢)
Semitones (A1:m2) 21:19 (105.9 ¢ : 95.8 ¢)
Consistency limit 3
Distinct consistency limit 3

Template:EDO intro

It is part of the optimal ET sequence for the apotropaia, enodia, fantastic, gizzard, gracecordial, hecate, marvell, unimarv (undecimal marvel), vines and wizard temperaments.

Theory

Prime harmonics

Approximation of prime harmonics in 238edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 -1.11 +1.92 -0.76 -1.74 +1.49 +0.93 -0.03 +1.98 -1.01 -0.50
Relative (%) +0.0 -22.1 +38.1 -15.0 -34.5 +29.5 +18.4 -0.7 +39.2 -19.9 -9.9
Steps
(reduced)
238
(0)
377
(139)
553
(77)
668
(192)
823
(109)
881
(167)
973
(21)
1011
(59)
1077
(125)
1156
(204)
1179
(227)

Intervals

See Table of 238edo intervals.


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