51/50: Difference between revisions

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'''51/50''', the '''large septendecimal sixth tone''' is a [[17-limit]] [[superparticular]] interval of about 34.3 [[¢]].  
'''51/50''', the '''large septendecimal sixth tone''', is a [[17-limit]] [[superparticular]] interval of about 34.3 [[cent]]s. It is the interval between [[17/10]] and [[5/3]], between [[17/15]] and [[10/9]], and their respective [[octave complement]]s.  


This interval is the 17th-partial chroma (17-limit formal comma) used to express 17-limit intervals in [[Ben Johnston's notation]], being expressed with a "17", while its reciprocal is denoted as "{{invert|17}}" (a turned "17"). If the base note is C, then [[17/16]] is represented by C–C#17.  
This interval is the 17th-partial chroma (17-limit formal comma) used to express 17-limit intervals in [[Ben Johnston's notation]], being expressed with a "17", while its reciprocal is denoted as "{{invert|17}}" (a turned "17"). If the base note is C, then [[17/16]] is represented by C–C#17.  
== Temperaments ==
When treated as a comma, this may be called the '''vengeance comma''' on account of [[25/17]] being named the ''veangence subfifth'' by [[Eliora]] in 2021 from a culturally famous Bible passage, Ezekiel 25:17.


== See also ==
== See also ==
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* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]
* [[Medium comma]]s
* [[Medium comma]]


[[Category:Commas named systematically]]
[[Category:Commas named after mythology or literature]]

Revision as of 10:40, 25 March 2026

Interval information
Ratio 51/50
Factorization 2-1 × 3 × 5-2 × 17
Monzo [-1 1 -2 0 0 0 1
Size in cents 34.28298¢
Name large septendecimal sixth tone
Color name 17ogg2, sogugu 2nd,
Sogugu comma
FJS name [math]\displaystyle{ \text{d2}^{17}_{5,5} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 11.3163
Weil norm (log2 max(n, d)) 11.3449
Wilson norm (sopfr(nd)) 32
Comma size medium
Open this interval in xen-calc

51/50, the large septendecimal sixth tone, is a 17-limit superparticular interval of about 34.3 cents. It is the interval between 17/10 and 5/3, between 17/15 and 10/9, and their respective octave complements.

This interval is the 17th-partial chroma (17-limit formal comma) used to express 17-limit intervals in Ben Johnston's notation, being expressed with a "17", while its reciprocal is denoted as "17" (a turned "17"). If the base note is C, then 17/16 is represented by C–C#17.

Temperaments

When treated as a comma, this may be called the vengeance comma on account of 25/17 being named the veangence subfifth by Eliora in 2021 from a culturally famous Bible passage, Ezekiel 25:17.

See also