250/243: Difference between revisions

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a medium comma
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[[de:250/243]]
[[de:250/243]]
'''250/243''', known as the '''porcupine [[Comma|comma]]''' or maximal diesis, is an interval of size 49.166 [[cent|cents]]. It is the amount by which two [[10/9|minor whole tones]] exceed a minor third, that is, (10/9)^2/(6/5). Tempering it out leads to [[5-limit|5-limit]] [[Porcupine_family|porcupine temperament]].
{{Infobox Interval
| JI glyph =
| Ratio = 250/243
| Monzo = 1 -5 3
| Cents = 49.16614
| Name = porcupine comma, <br>maximal diesis
| Color name =
| FJS name =
| Sound =
}}
 
'''250/243''' is known as the '''porcupine [[comma]]''' or '''maximal diesis'''. It is the amount by which two [[10/9|minor whole tones]] exceed a minor third, that is, (10/9)<sup>2</sup>/(6/5). Tempering it out leads to [[5-limit]] [[Porcupine family|porcupine temperament]].


[[Category:5-limit]]
[[Category:5-limit]]
[[Category:Medium comma]]
[[Category:Medium comma]]
[[Category:Porcupine]]
[[Category:Porcupine]]
[[Category:Just interval]]


[[Category:Todo:improve layout]]
[[Category:Todo:improve layout]]

Revision as of 17:55, 8 November 2020

Interval information
Ratio 250/243
Factorization 2 × 3-5 × 53
Monzo [1 -5 3
Size in cents 49.16614¢
Names porcupine comma,
maximal diesis
FJS name [math]\displaystyle{ \text{A1}^{5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 15.8906
Weil norm (log2 max(n, d)) 15.9316
Wilson norm (sopfr(nd)) 32
Open this interval in xen-calc

250/243 is known as the porcupine comma or maximal diesis. It is the amount by which two minor whole tones exceed a minor third, that is, (10/9)2/(6/5). Tempering it out leads to 5-limit porcupine temperament.