289/288: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = septendecimal semitones comma, septendecimal 6-cent comma
| Name = septendecimal semitones comma, septendecimal 6-cent comma
| Color name = soso comma
| Color name = 17oo2, soso 2nd,<br>Soso comma
| Comma = yes
| Comma = yes
}}
}}

Revision as of 20:59, 11 January 2023

Interval information
Ratio 289/288
Subgroup monzo 2.3.17 [-5 -2 2
Size in cents 6.000817¢
Names septendecimal semitones comma,
septendecimal 6-cent comma
Color name 17oo2, soso 2nd,
Soso comma
FJS name [math]\displaystyle{ \text{d2}^{17,17} }[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 16.3449
Weil height (log2 max(n, d)) 16.3499
Wilson height (sopfr(nd)) 50
Comma size small
S-expression S17
Open this interval in xen-calc

289/288, the septendecimal semitones comma or the septendecimal 6-cent comma, is a 17-limit (also 2.3.17 subgroup) superparticular comma of about 6 cents. It is the difference between 17/16 and 18/17, as well as between 17/12 and 24/17. Tempering it out leads the octave split into two equal parts, each representing 17/12~24/17. Odd EDOs cannot temper it out.

See also