User:BudjarnLambeth/Sandbox2: Difference between revisions

Line 16:

; [[WE|22et, 11-limit WE tuning]]

* Step size: 54.494{{c}}, octave size: ~~NNN~~{{c}}

* Step size: 54.494{{c}}, octave size: 1198.9{{c}}

Compressing the octave of 22edo by around ~~half a cent~~ results in improved primes ~~NNN~~, but worse primes ~~NNN~~. This approximates all harmonics up to 16 within ~~NNN~~{{c}}. Its 11-limit WE tuning and 11-limit [[TE]] tuning both do this.

Compressing the octave of 22edo by around 1{{c}} results in improved primes 3 and 7, but worse primes 5, 11 and 13. This approximates all harmonics up to 16 within 26.5{{c}}. Its 11-limit WE tuning and 11-limit [[TE]] tuning both do this.

{{Harmonics in cet|54.494|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in 22et, 11-limit WE tuning}}

{{Harmonics in cet|54.494|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in 22et, 11-limit WE tuning (continued)}}

; [[zpi|80zpi]]

* Step size: 54.483{{c}}, octave size: ~~NNN~~{{c}}

* Step size: 54.483{{c}}, octave size: 1198.6{{c}}

Compressing the octave of 22edo 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 80zpi does this.

Compressing the octave of 22edo by around 1{{c}} results in improved primes 3 and 7, but worse primes 5, 11 and 13. This approximates all harmonics up to 16 within 27.1{{c}}. The tuning 80zpi does this.

{{Harmonics in cet|54.483|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in 80zpi}}

{{Harmonics in cet|54.483|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in 80zpi (continued)}}

; [[~~35edt~~]]

; [[57ed6]]

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

_ing the octave of ~~EDONAME~~ 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 ~~EDONOI~~ does this.

_ing the octave of 22edo 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 57ed6 does this.

{{Harmonics in equal|57|6|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in ~~EDONOI~~}}

{{Harmonics in equal|57|6|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in 57ed6}}

{{Harmonics in equal|57|6|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in ~~EDONOI (continued)}}~~

{{Harmonics in equal|57|6|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in 57ed6 (continued)}}

~~; [[13edf]]~~

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

~~_ing the octave of EDONAME 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 EDONOI does this.~~

~~{{Harmonics in equal|13|3|2|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI}}~~

~~{{Harmonics in equal|13|3|2|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI~~ (continued)}}

; [[35edt]]

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

_ing the octave of ~~EDONAME~~ 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 ~~EDONOI~~ does this.

_ing the octave of 22edo 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 35edt does this.

{{Harmonics in equal|35|3|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in ~~EDONOI~~}}

{{Harmonics in equal|35|3|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in 35edt}}

{{Harmonics in equal|35|3|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in ~~EDONOI~~ (continued)}}

{{Harmonics in equal|35|3|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in 35edt (continued)}}

~~13edf~~

~~35edt~~

@@ Line 16: / Line 16: @@
 ; [[WE|22et, 11-limit WE tuning]]
-* Step size: 54.494{{c}}, octave size: NNN{{c}}
+* Step size: 54.494{{c}}, octave size: 1198.9{{c}}
-Compressing the octave of 22edo by around half a cent results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. Its 11-limit WE tuning and 11-limit [[TE]] tuning both do this.
+Compressing the octave of 22edo by around 1{{c}} results in improved primes 3 and 7, but worse primes 5, 11 and 13. This approximates all harmonics up to 16 within 26.5{{c}}. Its 11-limit WE tuning and 11-limit [[TE]] tuning both do this.
 {{Harmonics in cet|54.494|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in 22et, 11-limit WE tuning}}
 {{Harmonics in cet|54.494|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in 22et, 11-limit WE tuning (continued)}}
 ; [[zpi|80zpi]]
-* Step size: 54.483{{c}}, octave size: NNN{{c}}
+* Step size: 54.483{{c}}, octave size: 1198.6{{c}}
-Compressing the octave of 22edo 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 80zpi does this.
+Compressing the octave of 22edo by around 1{{c}} results in improved primes 3 and 7, but worse primes 5, 11 and 13. This approximates all harmonics up to 16 within 27.1{{c}}. The tuning 80zpi does this.
 {{Harmonics in cet|54.483|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in 80zpi}}
 {{Harmonics in cet|54.483|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in 80zpi (continued)}}
-; [[35edt]]
+; [[57ed6]]
 * Step size: NNN{{c}}, octave size: NNN{{c}}
-_ing the octave of EDONAME 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 EDONOI does this.
+_ing the octave of 22edo 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 57ed6 does this.
-{{Harmonics in equal|57|6|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI}}
+{{Harmonics in equal|57|6|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in 57ed6}}
-{{Harmonics in equal|57|6|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI (continued)}}
+{{Harmonics in equal|57|6|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in 57ed6 (continued)}}
-; [[13edf]]
-* Step size: NNN{{c}}, octave size: NNN{{c}}
-_ing the octave of EDONAME 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 EDONOI does this.
-{{Harmonics in equal|13|3|2|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI}}
-{{Harmonics in equal|13|3|2|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI (continued)}}
 ; [[35edt]]
 * Step size: NNN{{c}}, octave size: NNN{{c}}
-_ing the octave of EDONAME 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 EDONOI does this.
+_ing the octave of 22edo 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 35edt does this.
-{{Harmonics in equal|35|3|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI}}
+{{Harmonics in equal|35|3|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in 35edt}}
-{{Harmonics in equal|35|3|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI (continued)}}
+{{Harmonics in equal|35|3|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in 35edt (continued)}}
-edf
-edt