Tour of regular temperaments: Difference between revisions

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; Lulubi clan (P8/2, P5)

: This low-accuracy 2.3.11 clan tempers out the ~~alpharabian~~ limma, [[128/121]]. Both 11/8 and 16/11 are equated to half-octave period. This clan includes as a strong extension the pajaric temperament, which is in the diaschismic family.

: This low-accuracy 2.3.11 clan tempers out the Alpharabian limma, [[128/121]]. Both 11/8 and 16/11 are equated to half-octave period. This clan includes as a strong extension the pajaric temperament, which is in the diaschismic family.

; ~~[[Rastmic_temperaments|~~Rastmic or Neutral or Lulu clan]] (P8, P5/2)

; Rastmic or Neutral or Lulu clan (P8, P5/2)

: This 2.3.11 clan tempers out [[243/242]] = {{monzo| -1 5 0 0 -2 }}. Its generator is ~11/9. Two generators equals ~3/2. 11/8 is equated to 5 generators minus an octave. This clan includes as a strong extension the [[dicot]] temperament, which is in the dicot family.

; [[~~Tribilo_family~~| Tribilo Clan]] (P8/3, P4/2)

; [[Nexus clan|Nexus or Tribilo Clan]] (P8/3, P4/2)

: This 2.3.11 clan tempers out the [[~~Nexus_comma|Tribilo or Nexus~~ comma]] {{monzo| -16 -3 0 0 6 }}. Its third-octave period is ~121/96 and its least-cents generator is ~12/11. A period plus a generator equals ~11/8. Six of these generators equals ~27/16. A period minus a generator equals ~1331/1152 or ~1536/1331. Two of these alternative generators equals ~4/3.

: This 2.3.11 clan tempers out the [[nexus comma]] {{monzo| -16 -3 0 0 6 }}. Its third-octave period is ~121/96 and its least-cents generator is ~12/11. A period plus a generator equals ~11/8. Six of these generators equals ~27/16. A period minus a generator equals ~1331/1152 or ~1536/1331. Two of these alternative generators equals ~4/3.

; ~~[[Alpharabian_temperaments|Alpharabian~~ or Laquadlo clan]] (P8/2, M2/4)

; Alphaxenic or Laquadlo clan (P8/2, M2/4)

: This 2.3.11 clan tempers out the [[~~alpharabian~~ comma]] {{monzo| -17 2 0 0 4 }}. Its half-octave period is ~363/256, and its generator is ~33/32. Four generators equals ~9/8. 3/2 is equated to a period plus 2 generators, and 11/8 is equated to a period minus a generator. This clan includes as a strong extension the comic or saquadyobi temperament, which is in the comic family.

: This 2.3.11 clan tempers out the [[Alpharabian comma]] {{monzo| -17 2 0 0 4 }}. Its half-octave period is ~363/256, and its generator is ~33/32. Four generators equals ~9/8. 3/2 is equated to a period plus 2 generators, and 11/8 is equated to a period minus a generator. This clan includes a strong extension to the comic or saquadyobi temperament, which is in the comic family.

=== Clans defined by a 2.3.13 (tha) comma ===

@@ Line 239: / Line 239: @@
 ; Lulubi clan (P8/2, P5)
-: This low-accuracy 2.3.11 clan tempers out the alpharabian limma, [[128/121]]. Both 11/8 and 16/11 are equated to half-octave period. This clan includes as a strong extension the pajaric temperament, which is in the diaschismic family.
+: This low-accuracy 2.3.11 clan tempers out the Alpharabian limma, [[128/121]]. Both 11/8 and 16/11 are equated to half-octave period. This clan includes as a strong extension the pajaric temperament, which is in the diaschismic family.
-; [[Rastmic_temperaments|Rastmic or Neutral or Lulu clan]] (P8, P5/2)
+; Rastmic or Neutral or Lulu clan (P8, P5/2)
 : This 2.3.11 clan tempers out [[243/242]] = {{monzo| -1 5 0 0 -2 }}. Its generator is ~11/9. Two generators equals ~3/2. 11/8 is equated to 5 generators minus an octave. This clan includes as a strong extension the [[dicot]] temperament, which is in the dicot family.
-; [[Tribilo_family| Tribilo Clan]] (P8/3, P4/2)
+; [[Nexus clan|Nexus or Tribilo Clan]] (P8/3, P4/2)
-: This 2.3.11 clan tempers out the [[Nexus_comma|Tribilo or Nexus comma]] {{monzo| -16 -3 0 0 6 }}. Its third-octave period is ~121/96 and its least-cents generator is ~12/11. A period plus a generator equals ~11/8. Six of these generators equals ~27/16. A period minus a generator equals ~1331/1152 or ~1536/1331. Two of these alternative generators equals ~4/3.
+: This 2.3.11 clan tempers out the [[nexus comma]] {{monzo| -16 -3 0 0 6 }}. Its third-octave period is ~121/96 and its least-cents generator is ~12/11. A period plus a generator equals ~11/8. Six of these generators equals ~27/16. A period minus a generator equals ~1331/1152 or ~1536/1331. Two of these alternative generators equals ~4/3.
-; [[Alpharabian_temperaments|Alpharabian or Laquadlo clan]] (P8/2, M2/4)
+; Alphaxenic or Laquadlo clan (P8/2, M2/4)
-: This 2.3.11 clan tempers out the [[alpharabian comma]] {{monzo| -17 2 0 0 4 }}. Its half-octave period is ~363/256, and its generator is ~33/32. Four generators equals ~9/8. 3/2 is equated to a period plus 2 generators, and 11/8 is equated to a period minus a generator. This clan includes as a strong extension the comic or saquadyobi temperament, which is in the comic family.
+: This 2.3.11 clan tempers out the [[Alpharabian comma]] {{monzo| -17 2 0 0 4 }}. Its half-octave period is ~363/256, and its generator is ~33/32. Four generators equals ~9/8. 3/2 is equated to a period plus 2 generators, and 11/8 is equated to a period minus a generator. This clan includes a strong extension to the comic or saquadyobi temperament, which is in the comic family.
 === Clans defined by a 2.3.13 (tha) comma ===