1053/1024: Difference between revisions

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added "Hunt minor submediant comma" (or is there consensus on FB or somewhere else that this name shouldn't be used any more?)
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| Monzo = -10 4 0 0 0 1
| Monzo = -10 4 0 0 0 1
| Cents = 48.34767
| Cents = 48.34767
| Name = tridecimal comma
| Name = tridecimal comma, <br> Hunt minor submediant comma
| Color name = L3o1, latho comma
| Color name = L3o1, latho comma
| FJS name = P1<sup>13</sup>
| FJS name = P1<sup>13</sup>
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}}
}}


'''1053/1024''', the '''tridecimal comma''', is a [[ratio]] of about 48.3 [[cent|cents]]. It is significant in [[Functional Just System]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. For example, it is the interval between the Pythagorean major third [[81/64]] and the tridecimal neutral third [[16/13]].  
'''1053/1024''', the '''tridecimal comma''' or '''Hunt minor submediant comma''', is a [[ratio]] of about 48.3 [[cent|cents]]. It is significant in [[Functional Just System]] as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to [[64/63]] and [[33/32]] for septimal and undecimal, respectively. For example, it is the interval between the Pythagorean major third [[81/64]] and the tridecimal neutral third [[16/13]].  


1053/1024 can be considered a type of quarter tone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].  
1053/1024 can be considered a type of quarter tone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]].  

Revision as of 09:40, 26 July 2020

Interval information
Ratio 1053/1024
Factorization 2-10 × 34 × 13
Monzo [-10 4 0 0 0 1
Size in cents 48.34767¢
Names tridecimal comma,
Hunt minor submediant comma
Color name L3o1, latho comma
FJS name [math]\displaystyle{ \text{P1}^{13} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 20.0403
Weil norm (log2 max(n, d)) 20.0806
Wilson norm (sopfr(nd)) 45
Open this interval in xen-calc

1053/1024, the tridecimal comma or Hunt minor submediant comma, is a ratio of about 48.3 cents. It is significant in Functional Just System as the tridecimal formal comma which translates a Pythagorean interval to a nearby tridecimal interval, analogous to 64/63 and 33/32 for septimal and undecimal, respectively. For example, it is the interval between the Pythagorean major third 81/64 and the tridecimal neutral third 16/13.

1053/1024 can be considered a type of quarter tone. It is 4096/4095 smaller than 36/35, and 352/351 smaller than 33/32.

See Also