36edo: Difference between revisions
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{{Harmonics in cet|33.303596|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 13-limit TE tuning of 36et (continued)}} | {{Harmonics in cet|33.303596|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 13-limit TE tuning of 36et (continued)}} | ||
; [[TE|11-limit TE | ; [[TE|36et, 11-limit TE tuning]] | ||
* Step size: 33.287{{c}} | * Step size: 33.287{{c}} | ||
* Octave size: 1198.3{{c}} | * Octave size: 1198.3{{c}} | ||
{{Harmonics in cet|33.287|columns=12|collapsed=true|title=Approximation of harmonics in 11lim | {{Harmonics in cet|33.287|columns=12|collapsed=true|title=Approximation of harmonics in 11lim TE-tuned 36edo}} | ||
{{Harmonics in cet|33.287|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 11lim | {{Harmonics in cet|33.287|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 11lim TE-tuned 36edo (continued)}} | ||
Compressing the octave of 36edo by about 2{{c}} results in much improved primes 5 and 11, but much worse primes 7 and 13. This approximates all primes up to 11 within ''9.7{{c}}''. The 11- and 13-limit TE tunings of 36edo both do this, as do their respective WE tunings. | Compressing the octave of 36edo by about 2{{c}} results in much improved primes 5 and 11, but much worse primes 7 and 13. This approximates all primes up to 11 within ''9.7{{c}}''. The 11- and 13-limit TE tunings of 36edo both do this, as do their respective WE tunings. | ||
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| 36, 57, 84, 101, 125, 133 | | 36, 57, 84, 101, 125, 133 | ||
|- | |- | ||
! 11-limit | ! 11-limit TE | ||
| 1198.330 | | 1198.330 | ||
| −1.7 || −4.6 || +9.8 || −6.8 || +9.5 || −13.4 | | −1.7 || −4.6 || +9.8 || −6.8 || +9.5 || −13.4 | ||