Diminished (temperament): Difference between revisions
Diminished is specifically {648/625} and {36/35, 50/49} and has relevance in common-practice music, a consensus dating back to 2002. If you're interested in something else, create a different article. Rework to integrate the extension with prime 19. |
ArrowHead294 (talk | contribs) m Formatting |
||
| Line 9: | Line 9: | ||
[[12edo]] is an obvious tuning. Other possible tunings include [[16edo]] and [[28edo]], both of which having the interesting feature of being good in the 2.7.19 subgroup, so that the fifth is approximately [[28/19]]. [[28edo]] is notable as a tuning for the 5-limit temperament, dimipent, as it has very accurate [[5/4]]'s, being a [[strongly consistent circle]] of them. | [[12edo]] is an obvious tuning. Other possible tunings include [[16edo]] and [[28edo]], both of which having the interesting feature of being good in the 2.7.19 subgroup, so that the fifth is approximately [[28/19]]. [[28edo]] is notable as a tuning for the 5-limit temperament, dimipent, as it has very accurate [[5/4]]'s, being a [[strongly consistent circle]] of them. | ||
See [[Dimipent family #Diminished]] for technical data. | See [[Dimipent family#Diminished]] for technical data. | ||
== Interval chain == | == Interval chain == | ||
| Line 15: | Line 15: | ||
{| class="wikitable center-1 right-2 right-4 right-6 right-8" | {| class="wikitable center-1 right-2 right-4 right-6 right-8" | ||
! rowspan="2" | # | |- | ||
! rowspan="2" | # | |||
! colspan="2" | Period 0 | ! colspan="2" | Period 0 | ||
! colspan="2" | Period 1 | ! colspan="2" | Period 1 | ||
| Line 60: | Line 61: | ||
| 15/8 | | 15/8 | ||
|} | |} | ||
<nowiki>* | <nowiki />* In 7-limit CTE tuning | ||
== Scales == | == Scales == | ||
* [[Diminished12]] | * [[Diminished12]] – in [[44edo]] tuning | ||
== Tunings == | == Tunings == | ||
| Line 80: | Line 81: | ||
{| class="wikitable center-all left-4" | {| class="wikitable center-all left-4" | ||
|- | |- | ||
! Edo<br>Generator | ! Edo<br />Generator | ||
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]* | ! [[Eigenmonzo|Eigenmonzo<br />(Unchanged-interval)]]* | ||
! Generator (¢) | ! Generator (¢) | ||
! Comments | ! Comments | ||
| Line 160: | Line 161: | ||
| 8d val, upper bound of 7-odd-limit diamond monotone | | 8d val, upper bound of 7-odd-limit diamond monotone | ||
|} | |} | ||
<nowiki>* | <nowiki />* Besides the octave | ||
== See also == | == See also == | ||
| Line 166: | Line 167: | ||
[[Category:Temperaments]] | [[Category:Temperaments]] | ||
[[Category:Diminished| ]] <!-- | [[Category:Diminished| ]] <!-- Main article --> | ||
[[Category:Dimipent family]] | [[Category:Dimipent family]] | ||
[[Category:Jubilismic clan]] | [[Category:Jubilismic clan]] | ||
[[Category:Mint temperaments]] | [[Category:Mint temperaments]] | ||
[[Category:Starling temperaments]] | [[Category:Starling temperaments]] | ||