17/12: Difference between revisions

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| Cents = 603.00041
| Cents = 603.00041
| Name = larger septendecimal tritone
| Name = larger septendecimal tritone
| Color name =  
| Color name = 17o5, iso 5th
| FJS name = d5<sup>17</sup>
| FJS name = d5<sup>17</sup>
| Sound = jid_17_12_pluck_adu_dr220.mp3
| Sound = jid_17_12_pluck_adu_dr220.mp3

Revision as of 05:08, 13 February 2022

Interval information
Ratio 17/12
Subgroup monzo 2.3.17 [-2 -1 1
Size in cents 603.0004¢
Name larger septendecimal tritone
Color name 17o5, iso 5th
FJS name [math]\displaystyle{ \text{d5}^{17} }[/math]
Special properties reduced
Tenney height (log2 nd) 7.67243
Weil height (log2 max(n, d)) 8.17493
Wilson height (sopfr(nd)) 24

[sound info]
Open this interval in xen-calc

In 17-limit just intonation, 17/12 is the larger septendecimal tritone, measuring very nearly 603¢. Its inversion is the smaller septendecimal tritone, 24/17, and the interval that separates them is the small comma 289/288, about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered EDO system contains a close approximation to these intervals.

17/12 is the mediant between the two septimal tritones 7/5 and 10/7.

See also