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User:BudjarnLambeth/Sandbox2: Difference between revisions

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Created page with "= 7edo = == Octave stretch or compression == What follows is a comparison of stretched- and compressed-octave EDONAME tunings. ; EDONOI * Step size: NNN{{c}}, octave size: NNN{{c}} _ing the octave of EDONAME by a little over 3{{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|12|2|1|columns=11|collapsed=true|intervals=integer|title=Approximation..."
 
BudjarnLambeth (talk | contribs)
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= [[7edo]] =
== Approximations of odd harmonics ==
== Octave stretch or compression ==
{{harmonics in equal|1|intervals=odd|columns=7}}
What follows is a comparison of stretched- and compressed-octave EDONAME tunings.
{{harmonics in equal|2|intervals=odd|columns=7}}
 
{{harmonics in equal|3|intervals=odd|columns=7}}
; [[EDONOI]]
{{harmonics in equal|4|intervals=odd|columns=7}}
* Step size: NNN{{c}}, octave size: NNN{{c}}
{{harmonics in equal|5|intervals=odd|columns=7}}
_ing the octave of EDONAME by a little over 3{{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|6|intervals=odd|columns=7}}
{{Harmonics in equal|12|2|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI}}
{{harmonics in equal|7|intervals=odd|columns=7}}
{{Harmonics in equal|12|2|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI (continued)}}
{{harmonics in equal|8|intervals=odd|columns=7}}
 
{{harmonics in equal|9|intervals=odd|columns=7}}
; [[TE|ETNAME, TETUNING]]
{{harmonics in equal|10|intervals=odd|columns=7}}
* Step size: NNN{{c}}, octave size: NNN{{c}}
{{harmonics in equal|11|intervals=odd|columns=7}}
_ing the octave of EDONAME by a little over 3{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning TETUNING does this.
{{harmonics in equal|12|intervals=odd|columns=7}}
{{Harmonics in cet|100|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in TETUNING}}
{{harmonics in equal|13|intervals=odd|columns=7}}
{{Harmonics in cet|100|12|2|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in TETUNING (continued)}}
{{harmonics in equal|14|intervals=odd|columns=7}}
 
{{harmonics in equal|15|intervals=odd|columns=7}}
; EDONAME
{{harmonics in equal|16|intervals=odd|columns=7}}
* Step size: NNN{{c}}, octave size: NNN{{c}}  
{{harmonics in equal|17|intervals=odd|columns=7}}
Pure-octaves EDONAME approximates all harmonics up to 16 within NNN{{c}}.
{{harmonics in equal|18|intervals=odd|columns=7}}
{{Harmonics in equal|12|2|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONAME}}
{{harmonics in equal|19|intervals=odd|columns=7}}
{{Harmonics in equal|12|2|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONAME (continued)}}
{{harmonics in equal|20|intervals=odd|columns=7}}
 
{{harmonics in equal|21|intervals=odd|columns=7}}
; [[TE|ETNAME, TETUNING]]
{{harmonics in equal|22|intervals=odd|columns=7}}
* Step size: NNN{{c}}, octave size: NNN{{c}}
{{harmonics in equal|23|intervals=odd|columns=7}}
_ing the octave of EDONAME by a little over 3{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning TETUNING does this.
{{harmonics in equal|24|intervals=odd|columns=7}}
{{Harmonics in cet|100|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in TETUNING}}
{{harmonics in equal|25|intervals=odd|columns=7}}
{{Harmonics in cet|100|12|2|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in TETUNING (continued)}}
{{harmonics in equal|26|intervals=odd|columns=7}}
 
{{harmonics in equal|27|intervals=odd|columns=7}}
; [[EDONOI]]
{{harmonics in equal|28|intervals=odd|columns=7}}
* Step size: NNN{{c}}, octave size: NNN{{c}}
{{harmonics in equal|29|intervals=odd|columns=7}}
_ing the octave of EDONAME by a little over 3{{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|30|intervals=odd|columns=7}}
{{Harmonics in equal|12|2|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI}}
{{harmonics in equal|31|intervals=odd|columns=7}}
{{Harmonics in equal|12|2|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI (continued)}}
{{harmonics in equal|32|intervals=odd|columns=7}}
{{harmonics in equal|33|intervals=odd|columns=7}}
{{harmonics in equal|34|intervals=odd|columns=7}}
{{harmonics in equal|35|intervals=odd|columns=7}}
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{{harmonics in equal|37|intervals=odd|columns=7}}
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{{harmonics in equal|42|intervals=odd|columns=7}}
{{harmonics in equal|43|intervals=odd|columns=7}}
{{harmonics in equal|44|intervals=odd|columns=7}}
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