52/49: Difference between revisions

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Explained the etymology
 
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = hammer semitone, hammerisma
| Ratio = 52/49
| Monzo = 2 0 0 -2 0 1
| Cents = 102.875849
| Name =  
| Color name = thoruru unison, 3orr1
| Color name = thoruru unison, 3orr1
| FJS name = P1<sup>13</sup><sub>7,7</sub>
| Neutral FJS name = sA1<sup>13</sup><sub>7,7</sub>
}}
}}
'''52/49''' is a semitone-sized interval, the difference between [[13/8]] and [[49/32]]. It is a member of the 2.7.13 subgroup. It is also the difference between the flat minor seventh of [[7/4]] and the flat major seventh of [[13/7]].
 
'''52/49''', the '''hammer semitone''', is the difference between [[13/8]] and [[49/32]]. It is a member of the 2.7.13 subgroup. It is also the difference between the subminor seventh of [[7/4]] and the submajor seventh of [[13/7]].


It is close to [[17/16]], differing from it by the [[unnoticeable comma]] of [[833/832]].
It is close to [[17/16]], differing from it by the [[unnoticeable comma]] of [[833/832]].


[[Category:13-limit]]
== Etymology ==
[[Category:Interval]]
The color notation is '''thor'''uru, so it's the hammer semitone after Thor's hammer.
 
[[Category:Second]]
[[Category:Semitone]]
[[Category:Semitone]]

Latest revision as of 20:48, 6 March 2026

Interval information
Ratio 52/49
Factorization 22 × 7-2 × 13
Monzo [2 0 0 -2 0 1
Size in cents 102.8758¢
Names hammer semitone,
hammerisma
Color name thoruru unison, 3orr1
FJS name [math]\displaystyle{ \text{P1}^{13}_{7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 11.3151
Weil norm (log2 max(n, d)) 11.4009
Wilson norm (sopfr(nd)) 31
Open this interval in xen-calc

52/49, the hammer semitone, is the difference between 13/8 and 49/32. It is a member of the 2.7.13 subgroup. It is also the difference between the subminor seventh of 7/4 and the submajor seventh of 13/7.

It is close to 17/16, differing from it by the unnoticeable comma of 833/832.

Etymology

The color notation is thoruru, so it's the hammer semitone after Thor's hammer.