Cotoneum: Difference between revisions

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'''Cotoneum temperament''' is 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 [[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.


== Temperament data ==
== Temperament data ==
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<div style="line-height:1.6;">'''Cotoneum Temperament (41&amp;176)'''</div>
<div style="line-height:1.6;">'''Cotoneum temperament (41&amp;176)'''</div>
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Subgroup: 2.3.5.7.11.13.17.19
Subgroup: 2.3.5.7.11.13.17.19