294/289: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = nordic comma, septendecimal supraminor third comma
| Name = nordic comma, septendecimal neutral third comma
| Color name = zosu 2nd
| Color name = bisuzo unison
| Comma = yes
| Comma = yes
}}
}}
'''294/289''', the '''nordic comma''' or the '''septendecimal supraminor third comma''', is a [[medium comma|small]] [[7-limit]] (also [[2.3.7.17 subgroup|2.3.7.17-subgroup]]) [[comma]] with a value of roughly 29.7 [[cent]]s. It is significant in [[just intonation]] as the amount by which a stack of two [[17/14]] supraminor thirds fall short of [[3/2]] just perfect fifth.
'''294/289''', the '''nordic comma''' or the '''septendecimal neutral third comma''', is a [[medium comma|small]] [[17-limit]] (also [[2.3.7.17 subgroup|2.3.7.17-subgroup]]) [[comma]] with a value of roughly 29.7 [[cent]]s. It is significant in [[just intonation]] as the amount by which a stack of two [[17/14]] supraminor thirds fall short of [[3/2]] just perfect fifth. It is also difference between [[17/14]] and [[21/17]] submajor third.


== Temperaments ==
== Temperaments ==
[[Tempering out]] this comma in the full 17-limit leads to the [[nordic]] rank-6 temperament.
[[Tempering out]] this comma in the full 17-limit leads to the [[nordic]] rank-6 temperament.
[[Category:Supraminor third]]
[[Category:Commas named after musical traditions]]
[[Category:Commas named after musical traditions]]
[[Category:Commas named for the generator of their temperament]]
[[Category:Commas named for the generator of their temperament]]
[[Category:Neutral third]]

Latest revision as of 18:30, 3 March 2026

Interval information
Ratio 294/289
Factorization 2 × 3 × 72 × 17-2
Monzo [1 1 0 2 0 0 -2
Size in cents 29.69599¢
Names nordic comma,
septendecimal neutral third comma
Color name bisuzo unison
FJS name [math]\displaystyle{ \text{A1}^{7,7}_{17,17} }[/math]
Special properties reduced
Tenney norm (log2 nd) 16.3746
Weil norm (log2 max(n, d)) 16.3993
Wilson norm (sopfr(nd)) 53
Comma size small
Open this interval in xen-calc

294/289, the nordic comma or the septendecimal neutral third comma, is a small 17-limit (also 2.3.7.17-subgroup) comma with a value of roughly 29.7 cents. It is significant in just intonation as the amount by which a stack of two 17/14 supraminor thirds fall short of 3/2 just perfect fifth. It is also difference between 17/14 and 21/17 submajor third.

Temperaments

Tempering out this comma in the full 17-limit leads to the nordic rank-6 temperament.