User:BudjarnLambeth/Sandbox2: Difference between revisions

Line 23:

{{Harmonics in equal|258|12|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in EDONOI (continued)}}

; [[186ed6]] / [[WE|72et, 11-limit WE tuning]]

; [[186ed6]] / [[WE|72et, 11-limit WE tuning]] / [[202ed7]]

* Step size: NNN{{c}}, octave size: 1200.76{{c}}

Stretching the octave of 72edo by around NNN{{c}} results in [[JND|unnoticeably]] better primes 3, 5, 7, 11 and 13, but an unnoticeably worse prime 2. This approximates all harmonics up to 16 within NNN{{c}}. Its tuning ~~EDONOI~~ does this. 72et's 11-limit WE tuning and 11-limit [[TE]] tuning both do this, their octave differing from 186ed6's by only 0.02{{c}}.

Stretching the octave of 72edo by around NNN{{c}} results in [[JND|unnoticeably]] better primes 3, 5, 7, 11 and 13, but an unnoticeably worse prime 2. This approximates all harmonics up to 16 within NNN{{c}}. Its tuning 186ed6 does this. 72et's 11-limit WE tuning and 11-limit [[TE]] tuning both do this, their octave differing from 186ed6's by only 0.02{{c}}. The tuning 202ed7 does this also, it's octave differing from 186ed6 by less than a hundredth of a cent.

{{Harmonics in equal|186|6|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in EDONOI}}

{{Harmonics in equal|186|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in EDONOI (continued)}}

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; [[114edt]]

* Step size: NNN{{c}}, octave size: 1201.93{{c}}

* Step size: NNN{{c}}, octave size: 1201.23{{c}}

Stretching the octave of 72edo by around NNN{{c}} results in [[JND|unnoticeably]] better primes 3, 5, 7 and 13, but unnoticeably worse primes 2 and 11. This approximates all harmonics up to 16 within NNN{{c}}. The tuning EDONOI does this.

{{Harmonics in equal|114|3|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in EDONOI}}

{{Harmonics in equal|114|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in EDONOI (continued)}}

{{Harmonics in equal|167|5|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in EDONOI}}

{{Harmonics in equal|249|11|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in EDONOI}}

@@ Line 23: / Line 23: @@
 {{Harmonics in equal|258|12|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in EDONOI (continued)}}
-; [[186ed6]] / [[WE|72et, 11-limit WE tuning]]
+; [[186ed6]] / [[WE|72et, 11-limit WE tuning]] / [[202ed7]]
 * Step size: NNN{{c}}, octave size: 1200.76{{c}}
-Stretching the octave of 72edo by around NNN{{c}} results in [[JND|unnoticeably]] better primes 3, 5, 7, 11 and 13, but an unnoticeably worse prime 2. This approximates all harmonics up to 16 within NNN{{c}}. Its tuning EDONOI does this. 72et's 11-limit WE tuning and 11-limit [[TE]] tuning both do this, their octave differing from 186ed6's by only 0.02{{c}}.
+Stretching the octave of 72edo by around NNN{{c}} results in [[JND|unnoticeably]] better primes 3, 5, 7, 11 and 13, but an unnoticeably worse prime 2. This approximates all harmonics up to 16 within NNN{{c}}. Its tuning 186ed6 does this. 72et's 11-limit WE tuning and 11-limit [[TE]] tuning both do this, their octave differing from 186ed6's by only 0.02{{c}}. The tuning 202ed7 does this also, it's octave differing from 186ed6 by less than a hundredth of a cent.
 {{Harmonics in equal|186|6|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in EDONOI}}
 {{Harmonics in equal|186|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in EDONOI (continued)}}
@@ Line 42: / Line 42: @@
 ; [[114edt]]
-* Step size: NNN{{c}}, octave size: 1201.93{{c}}
+* Step size: NNN{{c}}, octave size: 1201.23{{c}}
 Stretching the octave of 72edo by around NNN{{c}} results in [[JND|unnoticeably]] better primes 3, 5, 7 and 13, but unnoticeably worse primes 2 and 11. This approximates all harmonics up to 16 within NNN{{c}}. The tuning EDONOI does this.
 {{Harmonics in equal|114|3|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in EDONOI}}
 {{Harmonics in equal|114|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in EDONOI (continued)}}
+{{Harmonics in equal|167|5|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in EDONOI}}
+{{Harmonics in equal|249|11|1|intervals=integer|columns=11|collapsed=true|title=Approximation of harmonics in EDONOI}}