Quartisma: Difference between revisions

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Removed the color name for the quartismic temperament as said color name applies only to one specific type of quartismic temperament.
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The '''quartisma''' or '''Saquinlu-azo comma''' is a comma with a ratio of '''117440512/117406179''' and a [[monzo]] of {{monzo|24 -6 0 1 -5}}.  It is an [[unnoticeable comma]] of the [[11-limit]] with a value of approximately 0.50619 cents.  The quartisma is significant on account of it being the difference between a stack of five [[33/32]] quartertones and one [[7/6]] subminor third in Just Intonation.  Tempering it out leads to a form of '''quartismic temperament'''.  For a list of such temperaments, see [[Quartismic family]].
{{Infobox Interval
| Ratio = 117440512/117406179
| Name = quartisma
| Color name = Saquinlu-azo comma
| Comma = yes
}}
 
The '''quartisma''' is an [[unnoticeable comma|unnoticeable]] [[11-limit]] comma with a ratio of '''117440512/117406179''' and a value of approximately 0.5 [[cent|cents]].  The quartisma is significant on account of it being the interval between a stack of five [[33/32]] quartertones and one [[7/6]] subminor third in Just Intonation- this significance in relation to quartertones being the source of its name.  Tempering it out leads to a form of '''quartismic temperament'''.  For a list of such temperaments, see [[The Quartercache]].


[[Category:11-limit]]
[[Category:Unnoticeable comma]]
[[Category:Quartismic]]
[[Category:Quartismic]]
[[Category:Commas named for the intervals they stack]]

Latest revision as of 00:35, 4 November 2024

Interval information
Ratio 117440512/117406179
Factorization 224 × 3-6 × 7 × 11-5
Monzo [24 -6 0 1 -5⟩
Size in cents 0.5061895¢
Name quartisma
Color name Saquinlu-azo comma
FJS name [math]\displaystyle{ \text{m3}^{7}_{11,11,11,11,11} }[/math]
Special properties reduced
Tenney height (log2 nd) 53.6143
Weil height (log2 max(n, d)) 53.6147
Wilson height (sopfr(nd)) 128
Comma size unnoticeable
Open this interval in xen-calc

The quartisma is an unnoticeable 11-limit comma with a ratio of 117440512/117406179 and a value of approximately 0.5 cents. The quartisma is significant on account of it being the interval between a stack of five 33/32 quartertones and one 7/6 subminor third in Just Intonation- this significance in relation to quartertones being the source of its name. Tempering it out leads to a form of quartismic temperament. For a list of such temperaments, see The Quartercache.

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