User:BudjarnLambeth/Draft related tunings section: Difference between revisions

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 | +23.1%
 |-
-!36ed513/256
+!21edf
-|33.427
+|33.426
-| +3.4
+| +3.3
-| +3.4
+| +3.3
-| -11.9
+| -12.0
-| +7.3
+| +7.2
-| -6.4
+| -6.5
-| +5.3
+| +5.1
 |36, 57, 83, 101, 124, 133
 | +10.2%
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 |}
-; 36ed513/256
+; [[21edf]]
-Stretching the octave of 36edo by about 3.5 cents results in much improved primes 5 and 11, but a much worse prime 7. This approximates all primes up to 11 within ''12 cents''. The tuning 36ed513/256 does this.
+Stretching the octave of 36edo by about 3.5 cents results in improved primes 5, 11 and 13, but worse primes 2, 3 and 7. This approximates all primes up to 11 within ''12 cents''. The tuning 21edf does this.
 ; [[57edt]] / [[ed7|101ed7]] / [[zpi|155zpi]] / [[WE|2.3.7.13 WE-tuned 36edo]]
-If one intends to use both 36edo's vals for 5/1 at once, stretching the octave of 36edo by about 1 cent optimises 36edo for that dual-5 usage, while also making slight improvements to primes 3, 7, 11 and 13. This approximates all primes up to 11 within ''17 cents''. Four almost identical tunings do this: 57edt, 101ed7, 155zpi, and the 2.3.7.13 subgroup WE tuning of 36edo.
+If one intends to use both 36edo's vals for 5/1 at once, stretching the octave of 36edo by about 1 cent optimises 36edo for that dual-5 usage, while also making slight improvements to primes 3, 7, 11 and 13. This approximates all primes up to 11 within ''16.6 cents''. Four almost identical tunings do this: 57edt, 101ed7, 155zpi, and the 2.3.7.13 subgroup WE tuning of 36edo.
 ; Pure-octaves 36edo
-Pure-octaves 36edo approximates all primes up to 11 within ''16 cents''.
+Pure-octaves 36edo approximates all primes up to 11 within ''15.3 cents''.
 ; [[WE|11-limit WE 36edo / 13-limit WE 36edo]]
-Compressing the octave of 36edo by about 2 cents results in much improved primes 5 and 11, but much worse primes 7 and 13. This approximates all primes up to 11 within ''10 cents''. The 11- and 13-limit WE tunings of 36edo both do this, as do their respective [[TE]] tunings.
+Compressing the octave of 36edo by about 2 cents results in much improved primes 5 and 11, but much worse primes 7 and 13. This approximates all primes up to 11 within ''9.7 cents''. The 11- and 13-limit WE tunings of 36edo both do this, as do their respective [[TE]] tunings.