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Tour of regular temperaments: Difference between revisions

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→Rank-2 temperaments: hemif is no-5 hemiffiths so "hemif clan" isn't approriate for 512/507, and fix a few other problems
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See also [[subgroup temperaments]].
See also [[subgroup temperaments]].


; Lulu clan (P8/2, P5)  
; Lulubi clan (P8/2, P5)  
: This 2.3.11 clan tempers out alpharabian limma, 128/121. Both 11/8 and 16/11 is equated to half-octave period. This clan includes as a strong extension the pajaric temperament, which is in the diaschismic family.
: This 2.3.11 clan tempers out the alpharabian limma, [[128/121]]. Both 11/8 and 16/11 is 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.
: 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.


; Laquadlo clan (P8/2, M2/4)  
; Alpharabian or Laquadlo clan (P8/2, M2/4)  
: This 2.3.11 clan tempers out the Laquadlo 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 as a strong extension the comic or saquadyobi temperament, which is in the comic family.


=== Clans defined by a 2.3.13 (tha) comma ===
=== Clans defined by a 2.3.13 (tha) comma ===
See also [[subgroup temperaments]].
See also [[subgroup temperaments]].


; [[Hemif|Hemif or Thuthu clan]] (P8, P5/2)  
; Thuthu clan (P8, P5/2)  
: This 2.3.13 clan tempers out 512/507 = {{Monzo|9 -1 0 0 0 -2}}. Its generator is ~16/13. Two generators equals ~3/2. 13/8 is equated to 1 octave minus 1 generator. This clan includes as a strong extension the [[Dicot]] temperament, which is in the Dicot family.
: This 2.3.13 clan tempers out [[512/507]] = {{monzo| 9 -1 0 0 0 -2 }}. Its generator is ~16/13. Two generators equals ~3/2. 13/8 is equated to 1 octave minus 1 generator. This clan includes as a strong extension the [[Dicot]] temperament, which is in the Dicot family.


; Satritho clan (P8, P11/3)  
; Threedie or Satritho clan (P8, P11/3)  
: This 2.3.13 clan tempers out the Satritho comma 2197/2187 = {{Monzo|0 -7 0 0 0 3}}. Its generator is ~18/13. Three generators equals ~8/3. 13/8 is equated to 7 generators minus three octaves. This clan is related to the Latriru clan.
: This 2.3.13 clan tempers out the threedie, [[2197/2187]] = {{monzo| 0 -7 0 0 0 3 }}. Its generator is ~18/13. Three generators equals ~8/3. 13/8 is equated to 7 generators minus three octaves. This clan is related to the Latriru clan.


=== Clans defined by a 2.5.7 (yaza nowa) comma ===
=== Clans defined by a 2.5.7 (yaza nowa) comma ===
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