Tour of regular temperaments: Difference between revisions
→Miscellaneous other temperaments: we got too many pages of fractional-octave temperament pages that it's no longer viable to list them |
→Temperaments defined by an 11-limit comma: alpharabian -> alphaxenic |
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; [[Semiporwellismic clan|Semiporwellismic or Salulugu clan]] (P8, P5, ^1) | ; [[Semiporwellismic clan|Semiporwellismic or Salulugu clan]] (P8, P5, ^1) | ||
: These temper out the semiporwellisma, {{monzo| 14 -3 -1 0 -2 }} = 16384/16335. 5/4 is equated to an ila (2.3.11) interval, thus every 2.3.5.11 interval is equated to an ila interval, and both the pergen and the lattice are identical to that of ila JI. | : These temper out the semiporwellisma, {{monzo| 14 -3 -1 0 -2 }} = 16384/16335. 5/4 is equated to an ila (2.3.11) interval, thus every 2.3.5.11 interval is equated to an ila interval, and both the pergen and the lattice are identical to that of ila JI. In the pergen, ^1 is either ~33/32 or ~729/704. | ||
; [[Olympic clan|Olympic or Salururu clan]] (P8, P5, ^1) | ; [[Olympic clan|Olympic or Salururu clan]] (P8, P5, ^1) | ||
: These temper out the olympia, {{monzo| 17 -5 0 -2 -1 }} = 131072/130977. 11/8 is equated with a 2.3.7 interval, and thus every 2.3.7.11 interval is equated with a 2.3.7 interval. In the pergen, ^1 = ~64/63. | : These temper out the olympia, {{monzo| 17 -5 0 -2 -1 }} = 131072/130977. 11/8 is equated with a 2.3.7 interval, and thus every 2.3.7.11 interval is equated with a 2.3.7 interval. In the pergen, ^1 = ~64/63. | ||
; [[ | ; [[Alphaxenic rank three clan|Alphaxenic or Laquadlo rank-3 clan]] | ||
: These temper out the | : These temper out the Alpharabian comma, {{monzo| -17 2 0 0 4 }} = 131769/131072. In the corresponding [[Tour of regular temperaments#Clans defined by a 2.3.11 .28ila.29 comma|2.3.11 rank-2 temperament]], the pergen is (P8/2, M2/4). | ||
== Rank-4 temperaments == | == Rank-4 temperaments == | ||