User:BudjarnLambeth/Sandbox2: Difference between revisions

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{{Harmonics in cet|19.962|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 302zpi (continued)}}
{{Harmonics in cet|19.962|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 302zpi (continued)}}


; [[APS|19.95cet]]  
302zpi is particularly well suited to [[catnip]] temperament specifically: in 60edo, catnip's mappings of 5 and 13 both differ from the [[patent val]]s, but in 19.95cet, only it's mapping of 7 differs. The tuning 169ed7 also does this, but 302zpi approximates most simple harmonics better than 169ed7.
* Step size: 19.950{{c}}, octave size: 1197.00{{c}}
Compressing the octave of 60edo by 3{{c}} results in improved primes 5, 7 and 13, but worse primes 2, 3 and 11. This approximates all harmonics up to 16 within 8.32{{c}}. The tuning 19.95cet does this. This tuning is particularly well suited to [[catnip]] temperament specifically.
{{Harmonics in cet|19.95|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 19.95cet}}
{{Harmonics in cet|19.95|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 19.95cet (continued)}}


; [[ed7|169ed7]]  
; [[ed7|169ed7]]