Tour of regular temperaments: Difference between revisions

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; [[Würschmidt family|Würschmidt or Saquadbiguti family]] (P8, ccP5/8)

: The würschmidt (or wuerschmidt) family tempers out the ~~{{monzo|~~[~~Würschmidt~~ comma]], {{nowrap|393216/390625 {{=}} {{monzo| 17 1 -8 }}}}. Würschmidt itself has a generator of a major third, eight of which give a 6/1 (the 6th harmonic, or a double-compound perfect 5th); that is, {{nowrap|(5/4)<sup}}8</sup> * (393216/390625) {{=}} 6}}. It tends to generate the same ~~MOSs~~ as [[~~Magic_family~~|magic temperament]], but is tuned slightly more accurately. Both [[31edo~~|31EDO~~]] and [[34edo~~|34EDO~~]] can be used as würschmidt tunings, as can [[65edo~~|65EDO~~]], which is quite accurate.

: The würschmidt (or wuerschmidt) family tempers out the [[würschmidt comma]], {{nowrap|393216/390625 {{=}} {{monzo| 17 1 -8 }}}}. Würschmidt itself has a generator of a major third, eight of which give a 6/1 (the 6th harmonic, or a double-compound perfect 5th); that is, {{nowrap|(5/4)<sup>8</sup> × (393216/390625) {{=}} 6}}. It tends to generate the same mos scales as [[magic family|magic temperament]], but is tuned slightly more accurately. Both [[31edo]] and [[34edo]] can be used as würschmidt tunings, as can [[65edo]], which is quite accurate.

; [[Escapade family|Escapade or Sasa-tritriguti family]] (P8, P4/9)

@@ Line 135: / Line 135: @@
 ; [[Würschmidt family|Würschmidt or Saquadbiguti family]] (P8, ccP5/8)
-: The würschmidt (or wuerschmidt) family tempers out the {{monzo|[Würschmidt comma]], {{nowrap|393216/390625 {{=}} {{monzo| 17 1 -8 }}}}. Würschmidt itself has a generator of a major third, eight of which give a 6/1 (the 6th harmonic, or a double-compound perfect 5th); that is, {{nowrap|(5/4)<sup}}8</sup> * (393216/390625) {{=}} 6}}. It tends to generate the same MOSs as [[Magic_family|magic temperament]], but is tuned slightly more accurately. Both [[31edo|31EDO]] and [[34edo|34EDO]] can be used as würschmidt tunings, as can [[65edo|65EDO]], which is quite accurate.
+: The würschmidt (or wuerschmidt) family tempers out the [[würschmidt comma]], {{nowrap|393216/390625 {{=}} {{monzo| 17 1 -8 }}}}. Würschmidt itself has a generator of a major third, eight of which give a 6/1 (the 6th harmonic, or a double-compound perfect 5th); that is, {{nowrap|(5/4)<sup>8</sup> × (393216/390625) {{=}} 6}}. It tends to generate the same mos scales as [[magic family|magic temperament]], but is tuned slightly more accurately. Both [[31edo]] and [[34edo]] can be used as würschmidt tunings, as can [[65edo]], which is quite accurate.
 ; [[Escapade family|Escapade or Sasa-tritriguti family]] (P8, P4/9)