12L 12s: Difference between revisions

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It is the 24-note mos scale of the [[compton]], [[catler]], and [[duodecim]] temperaments of the [[compton family]], which divide the octave into 12 parts. As such, this mos scale can be considered to be 2 rings of [[12edo]], and can be replicated with two 12edo instruments detuned from each other by a fixed amount. ~~Each~~ of these temperaments ~~maps~~ [[3/2]] to 7 steps of 12edo, tempering out the [[Pythagorean comma]]. Compton uses the [[3-limit]] of 12edo and adds an independent [[generator]] for [[5/4]]. Catler additionally maps 5/4 to 4\12, and ~~has~~ [[7/4]] as an independent generator. Duodecim is a low-accuracy temperament that further maps 7/4 to 10\12 and uses 11/8 as an independent generator.

It is the 24-note mos scale of the [[compton]], [[catler]], and [[duodecim]] temperaments of the [[compton family]], which divide the octave into 12 parts. As such, this mos scale can be considered to be 2 rings of [[12edo]], and can be replicated with two 12edo instruments detuned from each other by a fixed amount. All of these temperaments map [[3/2]] to 7 steps of 12edo, thus tempering out the [[Pythagorean comma]]. Compton uses the [[3-limit]] of 12edo, and adds an independent [[generator]] for [[5/4]] to improve the accuracy of [[5-limit]] harmony. Catler additionally maps 5/4 to 4\12, thus preserving the 5-limit of 12edo, and adds [[7/4]] as an independent generator. Duodecim is a low-accuracy temperament that further maps 7/4 to 10\12, thus keeping the full [[7-limit]] of 12edo, and uses [[11/8]] as an independent generator.

Using the [[TAMNAMS extension]], it can be named '''dodecawood''', since it has 12 periods per octave, each with one large step and one small step.

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 {{MOS intro}}
-It is the 24-note mos scale of the [[compton]], [[catler]], and [[duodecim]] temperaments of the [[compton family]], which divide the octave into 12 parts. As such, this mos scale can be considered to be 2 rings of [[12edo]], and can be replicated with two 12edo instruments detuned from each other by a fixed amount. Each of these temperaments maps [[3/2]] to 7 steps of 12edo, tempering out the [[Pythagorean comma]]. Compton uses the [[3-limit]] of 12edo and adds an independent [[generator]] for [[5/4]]. Catler additionally maps 5/4 to 4\12, and has [[7/4]] as an independent generator. Duodecim is a low-accuracy temperament that further maps 7/4 to 10\12 and uses 11/8 as an independent generator.
+It is the 24-note mos scale of the [[compton]], [[catler]], and [[duodecim]] temperaments of the [[compton family]], which divide the octave into 12 parts. As such, this mos scale can be considered to be 2 rings of [[12edo]], and can be replicated with two 12edo instruments detuned from each other by a fixed amount. All of these temperaments map [[3/2]] to 7 steps of 12edo, thus tempering out the [[Pythagorean comma]]. Compton uses the [[3-limit]] of 12edo, and adds an independent [[generator]] for [[5/4]] to improve the accuracy of [[5-limit]] harmony. Catler additionally maps 5/4 to 4\12, thus preserving the 5-limit of 12edo, and adds [[7/4]] as an independent generator. Duodecim is a low-accuracy temperament that further maps 7/4 to 10\12, thus keeping the full [[7-limit]] of 12edo, and uses [[11/8]] as an independent generator.
 Using the [[TAMNAMS extension]], it can be named '''dodecawood''', since it has 12 periods per octave, each with one large step and one small step.