441/440: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = werckisma | | Name = werckisma | ||
| Color name = Luzozogu | | Color name = Luzozogu | ||
| | | Comma = yes | ||
}} | }} | ||
'''441/440''', also known as '''Werckmeister's undecimal septenarian schisma''', or more simply, the '''werckisma''', is a [[small comma|small]] [[superparticular]] [[11-limit]] comma with a size of roughly 3.93 [[cent]]s. It is the difference between [[21/20]] and [[22/21]], and between [[80/63]] ( = ([[10/9]])([[8/7]])) and [[14/11]], as well as the amount by which a stack of two [[21/16]] septimal subfourths exceeds a single [[55/32]] supermajor sixth. | '''441/440''', also known as '''Werckmeister's undecimal septenarian schisma''', or more simply, the '''werckisma''', is a [[small comma|small]] [[superparticular]] [[11-limit]] comma with a size of roughly 3.93 [[cent]]s. It is the difference between [[21/20]] and [[22/21]], and between [[80/63]] ( = ([[10/9]])([[8/7]])) and [[14/11]], as well as the amount by which a stack of two [[21/16]] septimal subfourths exceeds a single [[55/32]] supermajor sixth. | ||
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* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Werckismic]] | [[Category:Werckismic]] | ||
Revision as of 15:54, 25 October 2022
| Interval information |
reduced
441/440, also known as Werckmeister's undecimal septenarian schisma, or more simply, the werckisma, is a small superparticular 11-limit comma with a size of roughly 3.93 cents. It is the difference between 21/20 and 22/21, and between 80/63 ( = (10/9)(8/7)) and 14/11, as well as the amount by which a stack of two 21/16 septimal subfourths exceeds a single 55/32 supermajor sixth.
Temperaments
Tempering it out splits 11/10 into two even halves, equates 21/16 with 55/42 to create some interesting-sounding triads, and makes werckismic chords possible. See Rank-4 temperament #Werckismic (441/440) for some technical data.
See also
- Werckismic chords
- Rank-4 temperament #Werckismic (441/440)
- Werckismic temperaments, a collection of rank-3 temperaments where it is tempered out
- Small comma
- List of superparticular intervals