51/50

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
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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

• 100/51 – its octave complement
• 25/17 – its fifth complement
• Gallery of just intervals
• List of superparticular intervals
• Medium comma