Hemimage comma: Difference between revisions
m Normalising usage of Infobox Interval |
mNo edit summary |
||
| (4 intermediate revisions by 3 users not shown) | |||
| Line 2: | Line 2: | ||
| Ratio = 10976/10935 | | Ratio = 10976/10935 | ||
| Name = hemimage | | Name = hemimage | ||
| Color name = sz<sup>3</sup>g3, Satrizo-agu comma | |||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The '''hemimage''', '''10976/10935''', is a [[7-limit]] [[comma]] measuring about 6.5 [[cent]]s. It marks the difference between a [[16/15|classic diatonic semitone (16/15)]] and a stack of three [[9/7|septimal major thirds (9/7)]] octave reduced, or between a [[10/9|classic whole tone (10/9)]] and a stack of three [[28/27|septimal third tones (28/27)]], therefore interesting to those who work extensively with third tones. It is also the difference between [[245/243]] and [[225/224]], the two simplest commas to define the 7-limit [[magic]] temperament | The '''hemimage''', '''10976/10935''', is a [[small comma|small]] [[7-limit]] [[comma]] measuring about 6.5 [[cent]]s. It marks the difference between a [[16/15|classic diatonic semitone (16/15)]] and a stack of three [[9/7|septimal major thirds (9/7)]] octave reduced, or between a [[10/9|classic whole tone (10/9)]] and a stack of three [[28/27|septimal third tones (28/27)]], therefore interesting to those who work extensively with third tones. It is also the difference between [[245/243]] and [[225/224]], the two simplest commas to define the 7-limit [[magic]] temperament. | ||
== | == Temperaments == | ||
Tempering out this comma alone in the 7-limit leads to the rank-3 [[hemimage]] temperament. See [[Hemimage family]] for the rank-3 family where it is tempered out. See [[Hemimage temperaments]] for a collection of rank-2 temperaments where it is tempered out. | |||
== Etymology == | |||
This comma was first named as ''parahemfi'' by [[Gene Ward Smith]] in 2005 as a contraction of ''[[parakleismic]]'' and ''[[hemififths]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group | ''Seven limit comma names from pairs of temperament names'']</ref>. It is not clear how it later became ''hemimage'', but the root of ''hemimage'' is obvious, being a contraction of ''hemififths'' and ''[[magic]]''. | |||
== Notes == | |||
[[Category:Hemimage]] | [[Category:Hemimage]] | ||
[[Category:Commas named by combining multiple temperament names]] | |||
Latest revision as of 13:05, 3 November 2024
| Interval information |
The hemimage, 10976/10935, is a small 7-limit comma measuring about 6.5 cents. It marks the difference between a classic diatonic semitone (16/15) and a stack of three septimal major thirds (9/7) octave reduced, or between a classic whole tone (10/9) and a stack of three septimal third tones (28/27), therefore interesting to those who work extensively with third tones. It is also the difference between 245/243 and 225/224, the two simplest commas to define the 7-limit magic temperament.
Temperaments
Tempering out this comma alone in the 7-limit leads to the rank-3 hemimage temperament. See Hemimage family for the rank-3 family where it is tempered out. See Hemimage temperaments for a collection of rank-2 temperaments where it is tempered out.
Etymology
This comma was first named as parahemfi by Gene Ward Smith in 2005 as a contraction of parakleismic and hemififths[1]. It is not clear how it later became hemimage, but the root of hemimage is obvious, being a contraction of hemififths and magic.