1053/1024: Difference between revisions
Jump to navigation
Jump to search
m Expansion |
"tridecimal quartertone" |
||
| Line 4: | Line 4: | ||
| 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 quartertone, <br>tridecimal comma | ||
| Color name = L3o1, latho comma | | Color name = L3o1, latho comma | ||
| FJS name = P1<sup>13</sup> | | FJS name = P1<sup>13</sup> | ||
| Line 10: | Line 10: | ||
}} | }} | ||
'''1053/1024''', the '''tridecimal comma''' or '''Hunt minor submediant comma''', is a [[ratio]] of about 48.3 [[cent|cents]]. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. | '''1053/1024''', the '''tridecimal quartertone''', '''tridecimal comma''' or '''Hunt minor submediant comma''', is a [[ratio]] of about 48.3 [[cent|cents]]. It is the interval between the Pythagorean major third of [[81/64]] and the tridecimal neutral third of [[16/13]]. It 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 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. However, in [[Helmholtz-Ellis notation]], that role is taken by [[27/26]]. | 1053/1024 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. However, in [[Helmholtz-Ellis notation]], that role is taken by [[27/26]]. | ||
== See Also == | == See Also == | ||
Revision as of 03:56, 22 October 2020
| Interval information |
tridecimal comma
reduced harmonic
1053/1024, the tridecimal quartertone, tridecimal comma or Hunt minor submediant comma, is a ratio of about 48.3 cents. It is the interval between the Pythagorean major third of 81/64 and the tridecimal neutral third of 16/13. It 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 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. However, in Helmholtz-Ellis notation, that role is taken by 27/26.