140/81: Difference between revisions

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Consolidate interval name
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| Monzo = 2 -4 1 1
| Monzo = 2 -4 1 1
| Cents = 947.3196
| Cents = 947.3196
| Name = septimal semidiminished seventh, <br> septimal inframinor seventh
| Name = septimal inframinor seventh
| Color name = zy7, zoyo 7th
| Color name = zy7, zoyo 7th
| FJS name = m7<sup>35</sup>
| FJS name = m7<sup>35</sup>
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'''140/81''', the '''septimal semidiminished seventh''' or '''septimal inframinor seventh''' is a [[7-limit]] [[interseptimal]] ratio of about 947 cents. It is flat of a minor seventh [[16/9]] by a septimal quartertone [[36/35]], flat of a subminor seventh [[7/4]] by a syntonic comma [[81/80]], and sharp of a supermajor sixth [[12/7]] by a sensamagic comma [[245/243]].  
'''140/81''', the '''septimal inframinor seventh''' is a [[7-limit]] [[interseptimal]] ratio of about 947 [[cent]]s. It is flat of a minor seventh [[16/9]] by a septimal quartertone [[36/35]], flat of a subminor seventh [[7/4]] by a syntonic comma [[81/80]], and sharp of a supermajor sixth [[12/7]] by a sensamagic comma [[245/243]].  


It is also sharp of a major sixth [[5/3]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading down to the major sixth. The [[Canou family|canou temperament]] targets this progression and uses it as one of the generators.  
It is also sharp of a major sixth [[5/3]] by a subminor second [[28/27]]. For this fact it is useful in the [[Canovian chord]] and provides the function of a voice leading down to the major sixth. The [[Canou family|canou temperament]] targets this progression and uses it as one of the generators.  

Revision as of 17:05, 16 November 2021

Interval information
Ratio 140/81
Factorization 22 × 3-4 × 5 × 7
Monzo [2 -4 1 1
Size in cents 947.3196¢
Name septimal inframinor seventh
Color name zy7, zoyo 7th
FJS name [math]\displaystyle{ \text{m7}^{35} }[/math]
Special properties reduced
Tenney norm (log2 nd) 13.4691
Weil norm (log2 max(n, d)) 14.2586
Wilson norm (sopfr(nd)) 28

[sound info]
Open this interval in xen-calc

140/81, the septimal inframinor seventh is a 7-limit interseptimal ratio of about 947 cents. It is flat of a minor seventh 16/9 by a septimal quartertone 36/35, flat of a subminor seventh 7/4 by a syntonic comma 81/80, and sharp of a supermajor sixth 12/7 by a sensamagic comma 245/243.

It is also sharp of a major sixth 5/3 by a subminor second 28/27. For this fact it is useful in the Canovian chord and provides the function of a voice leading down to the major sixth. The canou temperament targets this progression and uses it as one of the generators.

It is so perfectly approximated by 19edo (15\19), with an error of 0.05 cents, and hence equally well done by the enneadecal temperament.

See also