1053/1024: Difference between revisions
m Improve sectioning |
m terrible "tridecimal" name for the temp implied. this is clearly related to a flattone-like structure cuz why would u temper the fifth that flat if u wasnt already using flattone |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = tridecimal quartertone, tridecimal comma | | Name = tridecimal quartertone, tridecimal flattone comma | ||
| Color name = L3o1, latho 1sn,<br>Latho comma | | Color name = L3o1, latho 1sn,<br>Latho comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''1053/1024''', the '''tridecimal quartertone''', '''tridecimal comma''' or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. 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 quartertone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]]. | '''1053/1024''', the '''tridecimal quartertone''', '''tridecimal flattone comma''' or '''Hunt minor submediant comma''', is a [[13-limit]] interval of about 48.3 [[cent]]s. 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 quartertone. It is [[4096/4095]] smaller than [[36/35]], and [[352/351]] smaller than [[33/32]]. | ||
== Notation == | == Notation == | ||
Revision as of 00:17, 22 October 2024
| Interval information |
tridecimal flattone comma
Latho comma
reduced harmonic
1053/1024, the tridecimal quartertone, tridecimal flattone comma or Hunt minor submediant comma, is a 13-limit interval 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 quartertone. It is 4096/4095 smaller than 36/35, and 352/351 smaller than 33/32.
Notation
Sagittal notation
In the Sagittal system, this comma (possibly tempered) is represented (in a secondary role) by the sagittal and is called the 13 medium diesis, or 13M for short, because the simplest interval it notates is 13/1 (equiv. 13/8), as for example in A-F . The primary role of is 36/35 (35M up). The downward version is called 1/13M or 13M down and is represented (in a secondary role) by .
Functional Just System and Helmholtz-Ellis notation
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.