Stratosphere: Difference between revisions

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'''Stratosphere''' is a 37-limit [[regular temperament]] conceived by [[User:Kaiveran|Kaiveran]] that tempers out a plethora of [[unnoticeable comma]]s. It gets its name from the fact that 37 pretty absurdly high to climb in the harmonic ladder. 37 is also the first [[interseptimal]] interval in the harmonic series (a "hemifourth"), so this general area is a distinct new territory, or stratum if you will, of the harmonic "atmosphere".

Aside from the psychoacoustic advantage of tempering out such small commas, a secondary concept of this temperament is that complex intervals in lower prime limits are identified with simple intervals in higher prime limits (for example, 81/64 = 19/15, 27/20 = 23/17, etc.) Since it tempers out the ragisma, it qualifies as a [[~~ragismic~~ microtemperaments|ragismic microtemperament]], and is actually an extension of [[quatracot]].

Aside from the psychoacoustic advantage of tempering out such small commas, a secondary concept of this temperament is that complex intervals in lower prime limits are identified with simple intervals in higher prime limits (for example, 81/64 = 19/15, 27/20 = 23/17, etc.) Since it tempers out the ragisma, it qualifies as a [[Ragismic microtemperaments|ragismic microtemperament]], and is actually an extension of [[Ragismic microtemperaments #Quatracot|quatracot]].

== Temperament data ==

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[[Mapping]]: [{{val| 2 7 7 23 19 13 40 30 50 5 -6 11 }}, {{val| 0 -13 -8 -59 -41 -19 -108 -73 -139 16 54 -2 }}]

[[POTE generator]]s: ~99/70 = 600.0000, 176.7896

[[POTE generator]]s: ~99/70 = 600.0000, ~21/19 = 176.7896

[[TOP tuning|TOP generator]]s: 600.0648, 176.8087

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[[Badness]]: 0.~~0462~~

[[Badness]]: 0.046174

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 '''Stratosphere''' is a 37-limit [[regular temperament]] conceived by [[User:Kaiveran|Kaiveran]] that tempers out a plethora of [[unnoticeable comma]]s. It gets its name from the fact that 37 pretty absurdly high to climb in the harmonic ladder. 37 is also the first [[interseptimal]] interval in the harmonic series (a "hemifourth"), so this general area is a distinct new territory, or stratum if you will, of the harmonic "atmosphere".
-Aside from the psychoacoustic advantage of tempering out such small commas, a secondary concept of this temperament is that complex intervals in lower prime limits are identified with simple intervals in higher prime limits (for example, 81/64 = 19/15, 27/20 = 23/17, etc.) Since it tempers out the ragisma, it qualifies as a [[ragismic microtemperaments|ragismic microtemperament]], and is actually an extension of [[quatracot]].
+Aside from the psychoacoustic advantage of tempering out such small commas, a secondary concept of this temperament is that complex intervals in lower prime limits are identified with simple intervals in higher prime limits (for example, 81/64 = 19/15, 27/20 = 23/17, etc.) Since it tempers out the ragisma, it qualifies as a [[Ragismic microtemperaments|ragismic microtemperament]], and is actually an extension of [[Ragismic microtemperaments #Quatracot|quatracot]].
 == Temperament data ==
@@ Line 10: / Line 10: @@
 [[Mapping]]: [{{val| 2 7 7 23 19 13 40 30 50 5 -6 11 }}, {{val| 0 -13 -8 -59 -41 -19 -108 -73 -139 16 54 -2 }}]
-[[POTE generator]]s: ~99/70 = 600.0000, 176.7896
+[[POTE generator]]s: ~99/70 = 600.0000, ~21/19 = 176.7896
 [[TOP tuning|TOP generator]]s: 600.0648, 176.8087
@@ Line 16: / Line 16: @@
 {{Val list|legend=1| 34dgghii, 190ghhiikl, 224hl }}
-[[Badness]]: 0.0462
+[[Badness]]: 0.046174
 {{IoT}}