261edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|261}}
{{ED intro}}


It is part of the [[optimal ET sequence]] for the [[apollo]], [[diatessic]], [[novemkleismic]], [[shibboleth]] and [[superkleismic]] temperaments.
It is part of the [[optimal ET sequence]] for the [[apollo]], [[diatessic]], [[novemkleismic]], [[shibboleth]], and [[superkleismic]] temperaments.


=== Odd harmonics ===
=== Odd harmonics ===

Latest revision as of 18:03, 20 February 2025

← 260edo 261edo 262edo →
Prime factorization 32 × 29
Step size 4.5977 ¢ 
Fifth 153\261 (703.448 ¢) (→ 17\29)
Semitones (A1:m2) 27:18 (124.1 ¢ : 82.76 ¢)
Consistency limit 7
Distinct consistency limit 7

261 equal divisions of the octave (abbreviated 261edo or 261ed2), also called 261-tone equal temperament (261tet) or 261 equal temperament (261et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 261 equal parts of about 4.6 ¢ each. Each step represents a frequency ratio of 21/261, or the 261st root of 2.

It is part of the optimal ET sequence for the apollo, diatessic, novemkleismic, shibboleth, and superkleismic temperaments.

Odd harmonics

Approximation of odd harmonics in 261edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +1.49 -0.11 +1.29 -1.61 +0.41 +0.85 +1.39 +0.79 +1.34 -1.82 +1.61
Relative (%) +32.5 -2.3 +28.0 -35.0 +8.8 +18.5 +30.2 +17.2 +29.1 -39.5 +35.0
Steps
(reduced)
414
(153)
606
(84)
733
(211)
827
(44)
903
(120)
966
(183)
1020
(237)
1067
(23)
1109
(65)
1146
(102)
1181
(137)
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