Cotoneum: Difference between revisions

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'''Cotoneum''' is a temperament for the 7, 11, 13, 17, and 19 ~~[[Harmonic~~ limit~~|prime limits]]~~. It is a member of [[hemimage temperaments]], [[quince clan]], and [[garischismic clan]]. The ~~fifth~~ of cotoneum ~~in size~~ is a [[Garibaldi temperament|garibaldi]] fifth, but eight of them are not used to reach 5th subharmonic. This has the effect of making the Pythagorean sextuple-augmented unison a [[meantone]] fifth in size, four of them being ~1.4 cent sharp of [[5/1|5th harmonic]] in the 19-limit POTE tuning for instance. [[217edo~~|217EDO~~]] is an excellent tuning for cotoneum, with a fifth generator of 127\217, and ~~MOS~~ of 12, 17, 29, 41, 53, 94, 135, or 176 notes are available.

'''Cotoneum''' is a temperament for the 7-, 11-, 13-, 17-, and 19-limit. It is a member of [[hemimage temperaments]], [[quince clan]], and [[garischismic clan]]. The generator of cotoneum is a [[Garibaldi temperament|garibaldi]] fifth in size, but eight of them are not used to reach the 5th subharmonic. This has the effect of making the Pythagorean sextuple-augmented unison a [[meantone]] fifth in size, four of them being ~1.4 cent sharp of [[5/1|5th harmonic]] in the 19-limit POTE tuning for instance. [[217edo]] is an excellent tuning for cotoneum, with a fifth generator of 127\217, and [[mos scale]]s of 12, 17, 29, 41, 53, 94, 135, or 176 notes are available.

The temperament was named by [[User:Xenllium]] in 2021. ''Cotoneum'' is Latin for "quince".

== Temperament data ==

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Gencom mapping: [{{val| 1 2 -18 -3 13 29 41 -14 }}, {{val| 0 -1 49 14 -23 -61 -89 44 }}]

{| class="wikitable center-~~all~~"

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

|-

! [[~~eigenmonzo~~|~~eigenmonzo~~<br>(~~unchanged~~-~~interval~~)]]

! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-Interval)]]

! ~~fifth~~<br>(¢)

! Generator<br>(¢)

! ~~comments~~

! Comments

|-

| 4/3

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[[Category:Temperaments]]

[[Category:Cotoneum| ]]

[[Category:Hemimage temperaments]]

[[Category:Quince clan]]

[[Category:Garischismic clan]]

~~[[Category:Cotoneum| ]]~~

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-'''Cotoneum''' is a temperament for the 7, 11, 13, 17, and 19 [[Harmonic limit|prime limits]]. It is a member of [[hemimage temperaments]], [[quince clan]], and [[garischismic clan]]. The fifth of cotoneum in size is a [[Garibaldi temperament|garibaldi]] fifth, but eight of them are not used to reach 5th subharmonic. This has the effect of making the Pythagorean sextuple-augmented unison a [[meantone]] fifth in size, four of them being ~1.4 cent sharp of [[5/1|5th harmonic]] in the 19-limit POTE tuning for instance. [[217edo|217EDO]] is an excellent tuning for cotoneum, with a fifth generator of 127\217, and MOS of 12, 17, 29, 41, 53, 94, 135, or 176 notes are available.
+'''Cotoneum''' is a temperament for the 7-, 11-, 13-, 17-, and 19-limit. It is a member of [[hemimage temperaments]], [[quince clan]], and [[garischismic clan]]. The generator of cotoneum is a [[Garibaldi temperament|garibaldi]] fifth in size, but eight of them are not used to reach the 5th subharmonic. This has the effect of making the Pythagorean sextuple-augmented unison a [[meantone]] fifth in size, four of them being ~1.4 cent sharp of [[5/1|5th harmonic]] in the 19-limit POTE tuning for instance. [[217edo]] is an excellent tuning for cotoneum, with a fifth generator of 127\217, and [[mos scale]]s of 12, 17, 29, 41, 53, 94, 135, or 176 notes are available.
+The temperament was named by [[User:Xenllium]] in 2021. ''Cotoneum'' is Latin for "quince".
 == Temperament data ==
@@ Line 626: / Line 628: @@
 Gencom mapping: [{{val| 1 2 -18 -3 13 29 41 -14 }}, {{val| 0 -1 49 14 -23 -61 -89 44 }}]
-{| class="wikitable center-all"
+{| class="wikitable center-1 center-2"
 |-
-! [[eigenmonzo|eigenmonzo<br>(unchanged-interval)]]
+! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-Interval)]]
-! fifth<br>(¢)
+! Generator<br>(¢)
-! comments
+! Comments
 |-
 | 4/3
@@ Line 827: / Line 829: @@
 [[Category:Temperaments]]
+[[Category:Cotoneum| ]]<!-- main article -->
 [[Category:Hemimage temperaments]]
 [[Category:Quince clan]]
 [[Category:Garischismic clan]]
-[[Category:Cotoneum| ]]<!-- main article -->