Valentine: Difference between revisions

Line 8:

| MOS scales = …, [[1L 14s]], [[15L 1s]], [[15L 16s]]

| Pergen = (P8, P5/9)

| Odd limit 1 = 7 | Mistuning 1 = 4.60 | Complexity 1 = 31

| Odd limit 1 = 7 | Mistuning 1 = 4.60 | Complexity 1 = 15

| Odd limit 2 = 11-limit 21 | Mistuning 2 = 9.01 | Complexity 2 = 46

| Odd limit 2 = 11-limit 21 | Mistuning 2 = 9.01 | Complexity 2 = 31

}}

'''Valentine''' is a [[regular temperament]] that divides a tempered [[3/2]] into 9 equal [[generator]]s which are small semitones close to 78 cents; 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]].

@@ Line 8: / Line 8: @@
 | MOS scales = …, [[1L 14s]], [[15L 1s]], [[15L 16s]]
 | Pergen = (P8, P5/9)
-| Odd limit 1 = 7 | Mistuning 1 = 4.60 | Complexity 1 = 31
+| Odd limit 1 = 7 | Mistuning 1 = 4.60 | Complexity 1 = 15
-| Odd limit 2 = 11-limit 21 | Mistuning 2 = 9.01 | Complexity 2 = 46
+| Odd limit 2 = 11-limit 21 | Mistuning 2 = 9.01 | Complexity 2 = 31
 }}
 '''Valentine''' is a [[regular temperament]] that divides a tempered [[3/2]] into 9 equal [[generator]]s which are small semitones close to 78 cents; 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]].