143edo: Difference between revisions

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{{Infobox ET}}
'''143edo''' is the [[equal division of the octave]] into 143 parts of approximately 8.392¢ each. The 143b val provides a tuning almost identical with that of the POTE tuning for 7-limit meantone.
'''143edo''' is the [[equal division of the octave]] into 143 parts of approximately 8.392¢ each. The 143b val provides a tuning almost identical with that of the POTE tuning for 7-limit meantone.



Revision as of 19:06, 4 October 2022

← 142edo 143edo 144edo →
Prime factorization 11 × 13
Step size 8.39161 ¢ 
Fifth 84\143 (704.895 ¢)
Semitones (A1:m2) 16:9 (134.3 ¢ : 75.52 ¢)
Dual sharp fifth 84\143 (704.895 ¢)
Dual flat fifth 83\143 (696.503 ¢)
Dual major 2nd 24\143 (201.399 ¢)
Consistency limit 5
Distinct consistency limit 5

143edo is the equal division of the octave into 143 parts of approximately 8.392¢ each. The 143b val provides a tuning almost identical with that of the POTE tuning for 7-limit meantone.

As 143 is 11*13, 143edo allows the polymicrotonal juxtaposition of 11edo and 13edo:

13_against_11.gif

If the 11edo and 13edo subsets are analyzed as two scales that share the Tonic and are then combined (as in the diagram above), the resulting scale would have 23 tones in the octave; otherwise, it would have 24.