Tetracot comma: Difference between revisions
Add relation of major thirds to fifths. |
ArrowHead294 (talk | contribs) No edit summary |
||
| Line 5: | Line 5: | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''20000/19683''', the '''tetracot comma''' or '''minimal diesis''', is a [[small comma]] of 27.660 [[cent]]s which is the amount by which four [[10/9|minor whole tones]] exceed a [[3/2|fifth]]; that is, (10/9)^4/(3/2). It can also be expressed as the amount by which an octave-reduced stack of four [[5/4|just major thirds]] exceeds an octave-reduced stack of nine fifths. Tempering it out leads to the [[tetracot family]] of temperaments. | '''20000/19683''', the '''tetracot comma''' or '''minimal diesis''', is a [[small comma]] of 27.660 [[cent]]s which is the amount by which four [[10/9|minor whole tones]] exceed a [[3/2|fifth]]; that is, (10/9)^4/(3/2). It can also be expressed as the amount by which an octave-reduced stack of four [[5/4|just major thirds]] exceeds an octave-reduced stack of nine fifths, or as the difference between two [[81/80|syntonic commas]] and a [[25/24|classic chromatic semitone]]. Tempering it out leads to the [[tetracot family]] of temperaments. | ||
[[Category:tetracot]] | [[Category:tetracot]] | ||