27/22: Difference between revisions

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m +FJS name; cleanup
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Additional info and an additional name
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| Monzo = -1 3 0 0 -1
| Monzo = -1 3 0 0 -1
| Cents = 354.54706
| Cents = 354.54706
| Name = rastmic neutral third
| Name = rastmic neutral third, <br> greater Alpharabian neutral third
| Color name = 1u3, lu 3rd
| Color name = 1u3, lu 3rd
| FJS name = M3<sub>11</sub>
| FJS name = M3<sub>11</sub>
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}}
}}


'''27/22''' the '''rastmic neutral third''' is [[243/242]] (7.1 cents) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions.
'''27/22''', conventionally called the '''rastmic neutral third''', is [[243/242]] (7.1 cents) sharp of [[11/9]], and together with 11/9 makes [[3/2]], so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between [[10/9]] and [[15/11]], and 11/9 and [[3/2]] and their inversions.  As this is the larger of two [[11-limit]] neutral thirds obtained by modifying Pythagorean intervals by [[33/32]], it is dubbed the '''greater Alpharabian neutral third''' in [[Alpharabian tuning]].


== See also ==
== See also ==
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[[Category:Third]]
[[Category:Third]]
[[Category:Rastmic]]
[[Category:Rastmic]]
[[Category:Alpharabian]]

Revision as of 23:27, 24 November 2020

Interval information
Ratio 27/22
Factorization 2-1 × 33 × 11-1
Monzo [-1 3 0 0 -1
Size in cents 354.5471¢
Names rastmic neutral third,
greater Alpharabian neutral third
Color name 1u3, lu 3rd
FJS name [math]\displaystyle{ \text{M3}_{11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.21432
Weil norm (log2 max(n, d)) 9.50978
Wilson norm (sopfr(nd)) 22

[sound info]
Open this interval in xen-calc

27/22, conventionally called the rastmic neutral third, is 243/242 (7.1 cents) sharp of 11/9, and together with 11/9 makes 3/2, so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between 10/9 and 15/11, and 11/9 and 3/2 and their inversions. As this is the larger of two 11-limit neutral thirds obtained by modifying Pythagorean intervals by 33/32, it is dubbed the greater Alpharabian neutral third in Alpharabian tuning.

See also