Tour of regular temperaments: Difference between revisions

Line 578:

=== Temperaments defined by a comma involving 11 ===

; [[Ptolemismic ~~temperaments~~|Ptolemismic or Luyoyo ~~temperaments~~]]

; [[Ptolemismic clan|Ptolemismic or Luyoyo clan]]

: These temper out the ptolemisma, {{monzo| 2 -2 2 0 -1 }} = 100/99.

; [[Biyatismic ~~temperaments~~|Biyatismic or Lologu ~~temperaments~~]]

; [[Biyatismic clan|Biyatismic or Lologu clan]]

: These temper out the biyatisma, {{monzo| -3 -1 -1 0 2 }} = 121/120.

; [[~~Valinorismic temperaments~~|~~Valinorismic~~ or Lorugugu ~~temperaments~~]]

; [[Valinorsmic clan|Valinorsmic or Lorugugu clan]]

: These temper out the valinorsma, {{monzo| 4 0 -2 -1 1 }} = 176/175.

; [[Rastmic ~~temperaments~~|Rastmic or Lulu ~~temperaments~~]]

; [[Rastmic rank three clan|Rastmic or Lulu rank-3 clan]]

: These temper out the rastma, {{monzo| 1 5 0 0 -2 }} = 243/242. As an ila (11-limit no-fives no-sevens) rank-2 temperament, the pergen is (P8, P5/2).

Line 599:

: These temper out the swetisma, {{monzo| 2 3 1 -2 -1 }} = 540/539.

; [[Pentacircle ~~temperaments~~|Pentacircle or Saluzo ~~temperaments~~]]

; [[Pentacircle clan|Pentacircle or Saluzo clan]]

: These temper out the pentacircle comma, {{monzo| 7 -4 0 1 -1 }} = 896/891.

Line 607:

; [[Kalismic temperaments|Kalismic or Bilorugu temperaments]]

: These temper out the kalisma, {{monzo| -3 4 -2 -2 2 }} = 9801/9800.

; [[Semicanousmic clan|Semicanousmic or Quadlo-agu clan]]

: These temper out the semicanousma, {{monzo| -2 -6 -1 0 4 }} = 14641/14580.

; [[Semiporwellismic clan|Semiporwellismic or Salulugu clan]]

: These temper out the semiporwellisma, {{monzo| 14 -3 -1 0 -2 }} = 16384/16335.

; [[Alpharabian rank three clan|Alpharabian or Laquadlo rank-3 clan]]

: These temper out the alpharabian comma, {{monzo| -17 2 0 0 4 }} = 131769/131072.

== Rank-4 temperaments ==

@@ Line 578: / Line 578: @@
 === Temperaments defined by a comma involving 11 ===
-; [[Ptolemismic temperaments|Ptolemismic or Luyoyo temperaments]]
+; [[Ptolemismic clan|Ptolemismic or Luyoyo clan]]
 : These temper out the ptolemisma, {{monzo| 2 -2 2 0 -1 }} = 100/99.
-; [[Biyatismic temperaments|Biyatismic or Lologu temperaments]]
+; [[Biyatismic clan|Biyatismic or Lologu clan]]
 : These temper out the biyatisma, {{monzo| -3 -1 -1 0 2 }} = 121/120.
-; [[Valinorismic temperaments|Valinorismic or Lorugugu temperaments]]
+; [[Valinorsmic clan|Valinorsmic or Lorugugu clan]]
 : These temper out the valinorsma, {{monzo| 4 0 -2 -1 1 }} = 176/175.
-; [[Rastmic temperaments|Rastmic or Lulu temperaments]]
+; [[Rastmic rank three clan|Rastmic or Lulu rank-3 clan]]
 : These temper out the rastma, {{monzo| 1 5 0 0 -2 }} = 243/242. As an ila (11-limit no-fives no-sevens) rank-2 temperament, the pergen is (P8, P5/2).
@@ Line 599: / Line 599: @@
 : These temper out the swetisma, {{monzo| 2 3 1 -2 -1 }} = 540/539.
-; [[Pentacircle temperaments|Pentacircle or Saluzo temperaments]]
+; [[Pentacircle clan|Pentacircle or Saluzo clan]]
 : These temper out the pentacircle comma, {{monzo| 7 -4 0 1 -1 }} = 896/891.
@@ Line 607: / Line 607: @@
 ; [[Kalismic temperaments|Kalismic or Bilorugu temperaments]]
 : These temper out the kalisma, {{monzo| -3 4 -2 -2 2 }} = 9801/9800.
+; [[Semicanousmic clan|Semicanousmic or Quadlo-agu clan]]
+: These temper out the semicanousma, {{monzo| -2 -6 -1 0 4 }} = 14641/14580.
+; [[Semiporwellismic clan|Semiporwellismic or Salulugu clan]]
+: These temper out the semiporwellisma, {{monzo| 14 -3 -1 0 -2 }} = 16384/16335.
+; [[Alpharabian rank three clan|Alpharabian or Laquadlo rank-3 clan]]
+: These temper out the alpharabian comma, {{monzo| -17 2 0 0 4 }} = 131769/131072.
 == Rank-4 temperaments ==