User:BudjarnLambeth/Sandbox2: Difference between revisions

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{{Harmonics in equal|99|2|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 99edo (continued)}}

; [[WE|99et, 7-limit WE tuning]]

; [[WE|99et, 7-limit WE tuning]] / [[256ed6]]

* Step size: 12.117{{c}}, octave size: NNN{{c}}

Compressing the octave of 99edo by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. Its 7-limit WE tuning and 7-limit [[TE]] tuning both do this.

Compressing the octave of 99edo by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. Its 7-limit WE tuning and 7-limit [[TE]] tuning both do this. So does the tuning 256ed6 whose octave is identical within a thousandth of a cent.

{{Harmonics in cet|12.117|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 99et, 7-limit WE tuning}}

{{Harmonics in cet|12.117|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 99et, 7-limit WE tuning (continued)}}

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Compressing the octave of 99edo by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning 568zpi does this.

{{Harmonics in cet|12.115|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 568zpi}}

{{Harmonics in cet|12.115|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 568zpi (continued)}}

{{Harmonics in cet|12.115|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 568zpi (continued)}

~~; [[256ed6]]~~

* Step size: NNN{{c}}, octave size: NNN{{c}}

~~Compressing the octave of 99edo by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning 256ed6 does this.~~

~~{{Harmonics in equal|256|6|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 256ed6}}~~

~~{{Harmonics in equal|256|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 256ed6 (continued)}~~}

; [[157edt]]

* Step size: ~~NNN~~{{c}}, octave size: ~~NNN~~{{c}}

* Step size: 12.114{{c}}, octave size: 1199.32{{c}}

Compressing the octave of 99edo by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning 157edt does this.

{{Harmonics in equal|157|3|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 157edt}}

@@ Line 23: / Line 23: @@
 {{Harmonics in equal|99|2|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 99edo (continued)}}
-; [[WE|99et, 7-limit WE tuning]]
+; [[WE|99et, 7-limit WE tuning]] / [[256ed6]]
 * Step size: 12.117{{c}}, octave size: NNN{{c}}
-Compressing the octave of 99edo by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. Its 7-limit WE tuning and 7-limit [[TE]] tuning both do this.
+Compressing the octave of 99edo by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. Its 7-limit WE tuning and 7-limit [[TE]] tuning both do this. So does the tuning 256ed6 whose octave is identical within a thousandth of a cent.
 {{Harmonics in cet|12.117|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 99et, 7-limit WE tuning}}
 {{Harmonics in cet|12.117|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 99et, 7-limit WE tuning (continued)}}
@@ Line 33: / Line 33: @@
 Compressing the octave of 99edo by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning 568zpi does this.
 {{Harmonics in cet|12.115|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 568zpi}}
-{{Harmonics in cet|12.115|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 568zpi (continued)}}
+{{Harmonics in cet|12.115|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 568zpi (continued)}
-; [[256ed6]]
-* Step size: NNN{{c}}, octave size: NNN{{c}}
-Compressing the octave of 99edo by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning 256ed6 does this.
-{{Harmonics in equal|256|6|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 256ed6}}
-{{Harmonics in equal|256|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 256ed6 (continued)}}
 ; [[157edt]]
-* Step size: NNN{{c}}, octave size: NNN{{c}}
+* Step size: 12.114{{c}}, octave size: 1199.32{{c}}
 Compressing the octave of 99edo by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning 157edt does this.
 {{Harmonics in equal|157|3|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in 157edt}}