User:BudjarnLambeth/Sandbox2: Difference between revisions

Line 22:

; [[WE|12et, 5-limit WE tuning]]

* Step size: 99.868{{c}}, octave size: ~~NNN~~{{c}}

* Step size: 99.868{{c}}, octave size: 1198.4{{c}}

Compressing the octave of 12edo by around ~~a fifth of a [[cent]]~~ results in slightly improved primes 5 and 7, but a slightly prime 3. Its 5-limit WE tuning and 5-limit [[TE]] tuning both do this. It has the same benefits and drawbacks as 34zpi, but both are less intense here compared to 34zpi.

Compressing the octave of 12edo by around 1{{c}} results in slightly improved primes 5 and 7, but a slightly prime 3. Its 5-limit WE tuning and 5-limit [[TE]] tuning both do this. This has the same benefits and drawbacks as 34zpi, but both are less intense here compared to 34zpi.

{{Harmonics in cet|99.868|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in 12et, 5-limit WE tuning}}

{{Harmonics in cet|99.868|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in 12et, 5-limit WE tuning (continued)}}

Line 35:

; [[31ed6]]

* Step size: 100.063{{c}}, octave size: 1200.8{{c}}

Stretching the octave of 12edo by a little less than 1{{c}} results in an improved prime 3, but worse prime 5. The tuning 31ed6 does this.

Stretching the octave of 12edo by a little less than 1{{c}} results in an improved prime 3, but worse prime 5. This loosely resembles the stretched-octave tunings commonly used on pianos. The tuning 31ed6 does this.

{{Harmonics in equal|31|6|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in 31ed6}}

{{Harmonics in equal|31|6|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in 31ed6 (continued)}}

@@ Line 22: / Line 22: @@
 ; [[WE|12et, 5-limit WE tuning]]
-* Step size: 99.868{{c}}, octave size: NNN{{c}}
+* Step size: 99.868{{c}}, octave size: 1198.4{{c}}
-Compressing the octave of 12edo by around a fifth of a [[cent]] results in slightly improved primes 5 and 7, but a slightly prime 3. Its 5-limit WE tuning and 5-limit [[TE]] tuning both do this. It has the same benefits and drawbacks as 34zpi, but both are less intense here compared to 34zpi.
+Compressing the octave of 12edo by around 1{{c}} results in slightly improved primes 5 and 7, but a slightly prime 3. Its 5-limit WE tuning and 5-limit [[TE]] tuning both do this. This has the same benefits and drawbacks as 34zpi, but both are less intense here compared to 34zpi.
 {{Harmonics in cet|99.868|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in 12et, 5-limit WE tuning}}
 {{Harmonics in cet|99.868|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in 12et, 5-limit WE tuning (continued)}}
@@ Line 35: / Line 35: @@
 ; [[31ed6]]
 * Step size: 100.063{{c}}, octave size: 1200.8{{c}}
-Stretching the octave of 12edo by a little less than 1{{c}} results in an improved prime 3, but worse prime 5. The tuning 31ed6 does this.
+Stretching the octave of 12edo by a little less than 1{{c}} results in an improved prime 3, but worse prime 5. This loosely resembles the stretched-octave tunings commonly used on pianos. The tuning 31ed6 does this.
 {{Harmonics in equal|31|6|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in 31ed6}}
 {{Harmonics in equal|31|6|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in 31ed6 (continued)}}