51/50: Difference between revisions

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'''51/50''', the '''large septendecimal sixth tone''', or the '''17th-partial chroma''', 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 [[¢]].  


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.  

Latest revision as of 11:18, 13 November 2024

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 height (log2 nd) 11.3163
Weil height (log2 max(n, d)) 11.3449
Wilson height (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 ¢.

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.

See also