Valentine: Difference between revisions

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'''Valentine''' is a temperament that divides a tempered 3/2 into 9 equal generators which are small semitones; a stack of 3 ~~of these~~ generators is interpreted as 8/7 and a stack of 5 ~~of them~~ is interpreted as 5/4. The generator serves as both [[21/20]] and [[25/24]]. It is a member of the [[starling temperaments]], by [[tempering out]] [[126/125]], and the [[gamelismic clan]], by tempering out [[1029/1024]]. It extends naturally to the [[11-limit]] by treating the generator as [[22/21]], tempering out [[121/120]], [[176/175]], [[385/384]], and [[441/440]].

'''Valentine''' is a temperament that divides a tempered 3/2 into 9 equal generators which are small semitones; a stack of 3 generators is interpreted as 8/7 and a stack of 5 generators is interpreted as 5/4. The generator serves as both [[21/20]] and [[25/24]]. It is a member of the [[starling temperaments]], by [[tempering out]] [[126/125]], and the [[gamelismic clan]], by tempering out [[1029/1024]]. It extends naturally to the [[11-limit]] by treating the generator as [[22/21]], tempering out [[121/120]], [[176/175]], [[385/384]], and [[441/440]].

Valentine can be viewed as a counterpart of [[miracle]] in several ways. Miracle splits the generator of [[slendric]] in two while valentine splits it in three. Miracle is generated by [[15/14]][[~]][[16/15]], the classical diatonic semitone tempered together with the septimal major semitone, while valentine is generated by 21/20~25/24, the classical chromatic semitone tempered together with the septimal minor semitone. Miracle is known for its efficiency; the same is true of valentine. The [[11-odd-limit]] [[tonality diamond]] is covered by miracle with 22 generator steps, and by valentine with 21 generator steps.

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	'''Valentine''' is a temperament that divides a tempered 3/2 into 9 equal generators which are small semitones; a stack of 3 ~~of these~~ generators is interpreted as 8/7 and a stack of 5 ~~of them~~ is interpreted as 5/4. The generator serves as both [[21/20]] and [[25/24]]. It is a member of the [[starling temperaments]], by [[tempering out]] [[126/125]], and the [[gamelismic clan]], by tempering out [[1029/1024]]. It extends naturally to the [[11-limit]] by treating the generator as [[22/21]], tempering out [[121/120]], [[176/175]], [[385/384]], and [[441/440]].		'''Valentine''' is a temperament that divides a tempered 3/2 into 9 equal generators which are small semitones; a stack of 3 generators is interpreted as 8/7 and a stack of 5 generators is interpreted as 5/4. The generator serves as both [[21/20]] and [[25/24]]. It is a member of the [[starling temperaments]], by [[tempering out]] [[126/125]], and the [[gamelismic clan]], by tempering out [[1029/1024]]. It extends naturally to the [[11-limit]] by treating the generator as [[22/21]], tempering out [[121/120]], [[176/175]], [[385/384]], and [[441/440]].

	Valentine can be viewed as a counterpart of [[miracle]] in several ways. Miracle splits the generator of [[slendric]] in two while valentine splits it in three. Miracle is generated by [[15/14]][[~]][[16/15]], the classical diatonic semitone tempered together with the septimal major semitone, while valentine is generated by 21/20~25/24, the classical chromatic semitone tempered together with the septimal minor semitone. Miracle is known for its efficiency; the same is true of valentine. The [[11-odd-limit]] [[tonality diamond]] is covered by miracle with 22 generator steps, and by valentine with 21 generator steps.		Valentine can be viewed as a counterpart of [[miracle]] in several ways. Miracle splits the generator of [[slendric]] in two while valentine splits it in three. Miracle is generated by [[15/14]][[~]][[16/15]], the classical diatonic semitone tempered together with the septimal major semitone, while valentine is generated by 21/20~25/24, the classical chromatic semitone tempered together with the septimal minor semitone. Miracle is known for its efficiency; the same is true of valentine. The [[11-odd-limit]] [[tonality diamond]] is covered by miracle with 22 generator steps, and by valentine with 21 generator steps.