239edo: Difference between revisions

Lériendil (talk | contribs)
m Text replacement - "rgent temperament" to "rgent tuning"
Line 31: Line 31:
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br />8ve stretch (¢)
! rowspan="2" | Optimal<br>8ve stretch (¢)
! colspan="2" | Tuning error
! colspan="2" | Tuning error
|-
|-
Line 38: Line 38:
|-
|-
| 2.3
| 2.3
| {{monzo| 379 -239 }}
| {{Monzo| 379 -239 }}
| {{mapping| 239 379 }}
| {{Mapping| 239 379 }}
| −0.307
| −0.307
| 0.307
| 0.307
Line 45: Line 45:
|-
|-
| 2.3.5
| 2.3.5
| {{monzo| 3 -18 11}}, {{monzo| 32 -7 -9 }}
| {{Monzo| 3 -18 11 }}, {{monzo| 32 -7 -9 }}
| {{mapping| 239 379 555 }}
| {{Mapping| 239 379 555 }}
| −0.247
| −0.247
| 0.265
| 0.265
Line 53: Line 53:
| 2.3.5.7
| 2.3.5.7
| 2401/2400, 5120/5103, 29360128/29296875
| 2401/2400, 5120/5103, 29360128/29296875
| {{mapping| 239 379 555 671 }}
| {{Mapping| 239 379 555 671 }}
| −0.204
| −0.204
| 0.241
| 0.241
Line 60: Line 60:
| 2.3.5.7.11
| 2.3.5.7.11
| 2401/2400, 3025/3024, 4000/3993, 5120/5103
| 2401/2400, 3025/3024, 4000/3993, 5120/5103
| {{mapping| 239 379 555 671 827 }}
| {{Mapping| 239 379 555 671 827 }}
| −0.220
| −0.220
| 0.218
| 0.218
| 4.34
| 4.34
|-
| 2.3.5.7.11.17
| 595/594, 1156/1155, 2058/2057, 2401/2400, 5120/5103
| {{Mapping| 239 379 555 671 827 977 }}
| −0.203
| 0.203
| 4.03
|- style="border-top: double;"
| 2.3.5.7.11.13
| 352/351, 625/624, 847/845, 1575/1573, 2401/2400
| {{Mapping| 239 379 555 671 827 885 }} (239f)
| −0.318
| 0.296
| 5.89
|-
| 2.3.5.7.11.13.17
| 352/351, 595/594, 625/624, 847/845, 1156/1155, 1575/1573
| {{Mapping| 239 379 555 671 827 885 977 }} (239f)
| −0.290
| 0.282
| 5.63
|}
|}


Line 70: Line 91:
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
|-
! Periods<br />per 8ve
! Periods<br>per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br />ratio*
! Associated<br>ratio*
! Temperaments
! Temperaments
|-
|-
Line 136: Line 157:
| [[Neptune]] (7-limit)
| [[Neptune]] (7-limit)
|}
|}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki/>* [[Normal forms|Octave-reduced form]], reduced to the first half-octave, and [[normal forms|minimal form]] in parentheses if distinct


== Music ==
== Music ==