143edo: Difference between revisions
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Adopt template: EDO intro; +prime error table; -redundant categories; misc. cleanup |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro}} | |||
As 143 is 11 | The 143b val provides a tuning almost identical with that of the [[POTE tuning]] for 7-limit [[meantone]]. | ||
=== Odd harmonics === | |||
{{Harmonics in equal|143}} | |||
=== Subsets and supersets === | |||
As 143 is 11 × 13, 143edo allows the [[polymicrotonality|polymicrotonal juxtaposition]] of [[11edo]] and [[13edo]]: | |||
[[File:13_against_11.gif|alt=13_against_11.gif|800x312px|13_against_11.gif]] | [[File:13_against_11.gif|alt=13_against_11.gif|800x312px|13_against_11.gif]] | ||
If the 11edo and 13edo subsets are analyzed as two scales that share the | 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. | ||
Revision as of 06:59, 21 May 2024
| ← 142edo | 143edo | 144edo → |
The 143b val provides a tuning almost identical with that of the POTE tuning for 7-limit meantone.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.94 | -0.30 | -3.79 | -2.51 | +2.53 | -1.37 | +2.64 | +4.14 | -3.81 | -0.85 | +1.10 |
| Relative (%) | +35.0 | -3.6 | -45.2 | -29.9 | +30.1 | -16.3 | +31.5 | +49.3 | -45.4 | -10.1 | +13.1 | |
| Steps (reduced) |
227 (84) |
332 (46) |
401 (115) |
453 (24) |
495 (66) |
529 (100) |
559 (130) |
585 (13) |
607 (35) |
628 (56) |
647 (75) | |
Subsets and supersets
As 143 is 11 × 13, 143edo allows the polymicrotonal juxtaposition of 11edo and 13edo:
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.