Tour of regular temperaments: Difference between revisions

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; [[Minortone family]] (P8, ccP5/17)

: This tempers out the [[minortone comma]], {{monzo| -16 35 -17 }}. The head of the family is minortone, with a generator of a minor tone (~10/9). Seventeen generators equals a double-compound fifth (~6/1). 5/4 is equated to 35 generators minus 5 octaves. Its color name is Trila-seguti.

~~; [[Maja family]] (P8, c6P4/17)~~

: This tempers out the [[maja comma]], {{monzo| -3 -23 17 }} (762939453125/753145430616). The generator is {{nowrap| ~162/125 {{=}} ~453{{c}} }}. Seventeen generators equals a sextuple-compound fourth. 5/4 is equated to 9 octaves minus 23 generators. Its color name is Saseyoti.

; [[Maquila family]] (P8, c7P5/17)

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: This clan tempers out [[Harrison's comma]], {{monzo| -13 10 0 -1 }} (59049/57344). It equates 7/4 to an augmented sixth. Its color name is Laruti. Its best downward extension is [[septimal meantone]].

; [[~~Garischismic~~ clan]] (P8, P5)

; [[Septischismic clan]] (P8, P5)

: This clan tempers out the [[~~garischisma~~]], {{monzo| 25 -14 0 -1 }} (33554432/33480783). It equates 8/7 to two apotomes ({{monzo| -22 14 }}, (2187/2048)2) and 7/4 to a double-diminished octave {{monzo| 23 -14 }}. This clan includes [[schismatic family #Garibaldi|garibaldi]], [[~~garischismic~~ clan #Newt|newt]], [[~~garischismic~~ clan #Satin|satin]], [[vulture family #Vulture|vulture]], and [[~~garischismic~~ clan #Sextile|sextile]]. Its color name is Sasaruti.

: This clan tempers out the [[septischisma]], {{monzo| 25 -14 0 -1 }} (33554432/33480783). It equates 8/7 to two apotomes ({{monzo| -22 14 }}, (2187/2048)2) and 7/4 to a double-diminished octave {{monzo| 23 -14 }}. This clan includes [[schismatic family #Garibaldi|garibaldi]], [[septichismic clan #Newt|newt]], [[septischismic clan #Satin|satin]], [[vulture family #Vulture|vulture]], and [[septischismic clan #Sextile|sextile]]. Its color name is Sasaruti.

; Sasazoti clan (P8, P5)

: This clan tempers out the [[leapfrog comma]], {{monzo| 21 -15 0 1 }} (14680064/14348907). It equates 7/6 to two apotomes and 7/4 to double augmented fifth. This clan includes [[~~aberschismic~~ temperaments #Leapday|leapday]], [[sensamagic clan #Leapweek|leapweek]] and [[diaschismic family #Srutal|srutal]].

: This clan tempers out the [[leapfrog comma]], {{monzo| 21 -15 0 1 }} (14680064/14348907). It equates 7/6 to two apotomes and 7/4 to double augmented fifth. This clan includes [[sengic temperaments #Leapday|leapday]], [[sensamagic clan #Leapweek|leapweek]] and [[diaschismic family #Srutal|srutal]].

; Laruruti clan (P8/2, P5)

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: Secanticorn rank-2 temperaments temper out the [[secanticornisma]], {{monzo| -3 11 -5 -1 }} (177147/175000). Its color name is Laruquinguti.

; Nuwell temperaments

; [[Nuwell temperaments]]

: Nuwell rank-2 temperaments temper out the [[nuwell comma]], {{monzo| 1 5 1 -4 }} (2430/2401). Its color name is Quadru-ayoti.

@@ Line 166: / Line 166: @@
 ; [[Minortone family]] (P8, ccP5/17)
 : This tempers out the [[minortone comma]], {{monzo| -16 35 -17 }}. The head of the family is minortone, with a generator of a minor tone (~10/9). Seventeen generators equals a double-compound fifth (~6/1). 5/4 is equated to 35 generators minus 5 octaves. Its color name is Trila-seguti.
-; [[Maja family]] (P8, c<sup>6</sup>P4/17)
-: This tempers out the [[maja comma]], {{monzo| -3 -23 17 }} (762939453125/753145430616). The generator is {{nowrap| ~162/125 {{=}} ~453{{c}} }}. Seventeen generators equals a sextuple-compound fourth. 5/4 is equated to 9 octaves minus 23 generators. Its color name is Saseyoti.
 ; [[Maquila family]] (P8, c<sup>7</sup>P5/17)
@@ Line 190: / Line 187: @@
 : This clan tempers out [[Harrison's comma]], {{monzo| -13 10 0 -1 }} (59049/57344). It equates 7/4 to an augmented sixth. Its color name is Laruti. Its best downward extension is [[septimal meantone]].
-; [[Garischismic clan]] (P8, P5)
+; [[Septischismic clan]] (P8, P5)
-: This clan tempers out the [[garischisma]], {{monzo| 25 -14 0 -1 }} (33554432/33480783). It equates 8/7 to two apotomes ({{monzo| -22 14 }}, (2187/2048)<sup>2</sup>) and 7/4 to a double-diminished octave {{monzo| 23 -14 }}. This clan includes [[schismatic family #Garibaldi|garibaldi]], [[garischismic clan #Newt|newt]], [[garischismic clan #Satin|satin]], [[vulture family #Vulture|vulture]], and [[garischismic clan #Sextile|sextile]]. Its color name is Sasaruti.
+: This clan tempers out the [[septischisma]], {{monzo| 25 -14 0 -1 }} (33554432/33480783). It equates 8/7 to two apotomes ({{monzo| -22 14 }}, (2187/2048)<sup>2</sup>) and 7/4 to a double-diminished octave {{monzo| 23 -14 }}. This clan includes [[schismatic family #Garibaldi|garibaldi]], [[septichismic clan #Newt|newt]], [[septischismic clan #Satin|satin]], [[vulture family #Vulture|vulture]], and [[septischismic clan #Sextile|sextile]]. Its color name is Sasaruti.
 ; Sasazoti clan (P8, P5)
-: This clan tempers out the [[leapfrog comma]], {{monzo| 21 -15 0 1 }} (14680064/14348907). It equates 7/6 to two apotomes and 7/4 to double augmented fifth. This clan includes [[aberschismic temperaments #Leapday|leapday]], [[sensamagic clan #Leapweek|leapweek]] and [[diaschismic family #Srutal|srutal]].
+: This clan tempers out the [[leapfrog comma]], {{monzo| 21 -15 0 1 }} (14680064/14348907). It equates 7/6 to two apotomes and 7/4 to double augmented fifth. This clan includes [[sengic temperaments #Leapday|leapday]], [[sensamagic clan #Leapweek|leapweek]] and [[diaschismic family #Srutal|srutal]].
 ; Laruruti clan (P8/2, P5)
@@ Line 353: / Line 350: @@
 : Secanticorn rank-2 temperaments temper out the [[secanticornisma]], {{monzo| -3 11 -5 -1 }} (177147/175000). Its color name is Laruquinguti.
-; Nuwell temperaments
+; [[Nuwell temperaments]]
 : Nuwell rank-2 temperaments temper out the [[nuwell comma]], {{monzo| 1 5 1 -4 }} (2430/2401). Its color name is Quadru-ayoti.