Quintupole: Difference between revisions

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'''Quintupole''' is a temperament for the 7, 11, 13, 17, and 19 [[Harmonic limit|prime limits]]. It is a member of [[quintaleap family]], [[octagar temperaments]], and [[mistismic temperaments]]. It has a semitone inverval which represents [[18/17]], [[35/33]], [[52/49]], [[55/52]] and [[135/128]] as a generator. [[121edo|121EDO]] is an excellent tuning for quintupole, with a semitone generator of 10\121, and MOS of 13, 25, 37, 49, 61, 73, 85, 97, or 109 notes are available.

'''Quintupole''' is a temperament for the 7, 11, 13, 17, and 19 [[Harmonic limit|prime limits]]. It is a member of [[quintaleap family]], [[octagar temperaments]], and [[mistismic temperaments]]. It has a semitone inverval which represents [[18/17]], [[35/33]], [[52/49]], [[55/52]] and [[135/128]] as a generator, five of them give a fourth (~2.2 cents flat of [[4/3]]), sixteen give [[5/2]], and thirty-four give [[7/1|seventh harmonic]]. [[121edo|121EDO]] is an excellent tuning for quintupole, with a semitone generator of 10\121, and MOS of 13, 25, 37, 49, 61, 73, 85, 97, or 109 notes are available.

== Temperament data ==

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== Interval chain ==

Quintupole is considered as a [[cluster temperament]] with twelve clusters of notes in an octave. The chroma interval between adjacent notes in each cluster represents 100/99～120/119～171/170～196/195～209/208～210/209～221/220～225/224～289/288～324/323～441/440～513/512 all tempered together.

{| class="wikitable center-1 right-2"

! Number of <br>generator

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| 0

| 0.000

| 1/1

| [[1/1]]

|-

| 1

Line 604:

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|

|}

== Scales ==

* [[Quintupole13]]

* [[Quintupole25]]

* [[Quintupole37]]

* [[Quintupole49]]

* [[Quintupole61]]

* [[Quintupole73]]

* [[Quintupole85]]

* [[Quintupole97]]

[[Category:Temperaments]]

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-'''Quintupole''' is a temperament for the 7, 11, 13, 17, and 19 [[Harmonic limit|prime limits]]. It is a member of [[quintaleap family]], [[octagar temperaments]], and [[mistismic temperaments]]. It has a semitone inverval which represents [[18/17]], [[35/33]], [[52/49]], [[55/52]] and [[135/128]] as a generator. [[121edo|121EDO]] is an excellent tuning for quintupole, with a semitone generator of 10\121, and MOS of 13, 25, 37, 49, 61, 73, 85, 97, or 109 notes are available.
+'''Quintupole''' is a temperament for the 7, 11, 13, 17, and 19 [[Harmonic limit|prime limits]]. It is a member of [[quintaleap family]], [[octagar temperaments]], and [[mistismic temperaments]]. It has a semitone inverval which represents [[18/17]], [[35/33]], [[52/49]], [[55/52]] and [[135/128]] as a generator, five of them give a fourth (~2.2 cents flat of [[4/3]]), sixteen give [[5/2]], and thirty-four give [[7/1|seventh harmonic]]. [[121edo|121EDO]] is an excellent tuning for quintupole, with a semitone generator of 10\121, and MOS of 13, 25, 37, 49, 61, 73, 85, 97, or 109 notes are available.
 == Temperament data ==
@@ Line 78: / Line 78: @@
 == Interval chain ==
+Quintupole is considered as a [[cluster temperament]] with twelve clusters of notes in an octave. The chroma interval between adjacent notes in each cluster represents 100/99～120/119～171/170～196/195～209/208～210/209～221/220～225/224～289/288～324/323～441/440～513/512 all tempered together.
 {| class="wikitable center-1 right-2"
 ! Number of <br>generator
@@ Line 85: / Line 87: @@
 | 0
 | 0.000
-| 1/1
+| [[1/1]]
 |-
 | 1
@@ Line 604: / Line 606: @@
 |
 |}
+== Scales ==
+* [[Quintupole13]]
+* [[Quintupole25]]
+* [[Quintupole37]]
+* [[Quintupole49]]
+* [[Quintupole61]]
+* [[Quintupole73]]
+* [[Quintupole85]]
+* [[Quintupole97]]
 [[Category:Temperaments]]