Semiporwellisma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
TallKite (talk | contribs)
added color name
BudjarnLambeth (talk | contribs)
mNo edit summary
 
(4 intermediate revisions by 2 users not shown)
Line 6: Line 6:
}}
}}


The '''semiporwellisma''', 16384/16335 = {{monzo| 14 -3 -1 0 -2 }} is an [[11-limit]] [[comma]] measuring about 5.19 [[cent]]s, named for it is one of the commas tempered out in the [[semiporwell]] temperament. It is the difference between two instances of [[33/32]], the undecimal quartertone, and [[16/15]], the classic diatonic semitone.  
The '''semiporwellisma''', 16384/16335 = {{monzo| 14 -3 -1 0 -2 }} is a [[Small comma|small]] [[11-limit]] [[comma]] measuring about 5.19 [[cent]]s, named for it is one of the commas tempered out in the [[semiporwell]] temperament. It is the difference between two instances of [[33/32]], the undecimal quartertone, and [[16/15]], the classic diatonic semitone. It is also the difference between the [[rastma]] and the [[schisma]].  


In terms of commas, it is the difference between [[896/891]] and [[385/384]].  
In the full 11-limit, it is the difference between [[896/891]] and [[385/384]].  


== Temperaments ==
== Temperaments ==
Tempering it out leads to the rank-4 '''semiporwellismic temperament''', where an octave can be split into 33/32-[[15/8]]-33/32.  
Tempering it out in the full 11-limit leads to the rank-4 semiporwellismic temperament (→ [[Rank-4 temperament #Semiporwellismic (16384/16335)]]), or in the 2.3.5.11 subgroup, the rank-3 semiporwellic temperament. See [[Semiporwellismic clan]] for extensions of semiporwellic.  


== See also ==
== Etymology ==
* [[Rank-4 temperament #Semiporwellismic (16384/16335)]]
This comma was named by [[Flora Canou]] in 2021 after the semiporwell temperament, which in turn derives from [[6144/6125|porwell]], the 7-limit comma shared by [[porcupine]] and [[orwell]].
* [[Semiporwellismic clan]], the clan of rank-3 temperaments where it is tempered out
* [[Small comma]]


[[Category:Semiporwellismic]]
[[Category:Semiporwellismic]]
[[Category:Commas named by combining multiple temperament names]]
[[Category:Commas named after other creatives]]
[[Category:Commas named after compositions]]

Latest revision as of 02:43, 4 November 2024

Interval information
Ratio 16384/16335
Factorization 214 × 3-3 × 5-1 × 11-2
Monzo [14 -3 -1 0 -2
Size in cents 5.185399¢
Name semiporwellisma
Color name s1uug2, Salulugu comma
FJS name [math]\displaystyle{ \text{m2}_{5,11,11} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 27.9957
Weil height (log2 max(n, d)) 28
Wilson height (sopfr(nd)) 64
Comma size small
S-expression S31 * S322
Open this interval in xen-calc

The semiporwellisma, 16384/16335 = [14 -3 -1 0 -2 is a small 11-limit comma measuring about 5.19 cents, named for it is one of the commas tempered out in the semiporwell temperament. It is the difference between two instances of 33/32, the undecimal quartertone, and 16/15, the classic diatonic semitone. It is also the difference between the rastma and the schisma.

In the full 11-limit, it is the difference between 896/891 and 385/384.

Temperaments

Tempering it out in the full 11-limit leads to the rank-4 semiporwellismic temperament (→ Rank-4 temperament #Semiporwellismic (16384/16335)), or in the 2.3.5.11 subgroup, the rank-3 semiporwellic temperament. See Semiporwellismic clan for extensions of semiporwellic.

Etymology

This comma was named by Flora Canou in 2021 after the semiporwell temperament, which in turn derives from porwell, the 7-limit comma shared by porcupine and orwell.