17/8: Difference between revisions

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| Color name = 17o9, iso 9th
| Color name = 17o9, iso 9th
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'''17/8''' is the distance between the 17th and the 8th harmonic. It spans the size of 1304.95541{{cent}}. It is essentially a large septendecimal semitone ([[17/16]]) but one octave higher.  
'''17/8''' is the distance between the 17th and the 8th harmonic. It spans the size of 1304.95541 [[cent]]s. It is essentially a large septendecimal semitone ([[17/16]]) but one [[octave]] higher.  


 
This interval is a near-perfect approximation of the minor ninth in [[12edo]], with an error of only ~5 cents, stemming from 12edo's near-perfect approximation of the [[2.3.17.19 subgroup]].
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Latest revision as of 02:32, 3 August 2026

Interval information
Ratio 17/8
Subgroup monzo 2.17 [-3 1
Size in cents 1304.955¢
Names septendecimal minor ninth,
septendecimal augmented octave
Color name 17o9, iso 9th
FJS name [math]\displaystyle{ \text{m9}^{17} }[/math]
Tenney norm (log2 nd) 7.08746
Weil norm (log2 max(n, d)) 8.17493
Wilson norm (sopfr(nd)) 23
Open this interval in xen-calc

17/8 is the distance between the 17th and the 8th harmonic. It spans the size of 1304.95541 cents. It is essentially a large septendecimal semitone (17/16) but one octave higher.

This interval is a near-perfect approximation of the minor ninth in 12edo, with an error of only ~5 cents, stemming from 12edo's near-perfect approximation of the 2.3.17.19 subgroup.