4000/3993: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Aura (talk | contribs)
Tempering out the wizardharry comma doesn't produce the porcupine temperament- tempering 250/243 does- that said, the effect is somewhat similar in that tempering it out divides 4/3 into an equal-stepped tetrachord
Aura (talk | contribs)
No edit summary
Line 10: Line 10:
}}
}}


'''4000/3993''', the '''wizardharry comma''', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] comma with a size of roughly 3.03 [[cents]].  It is the amount by which a stack of three [[11/10]] submajor seconds falls short of the [[4/3]] perfect fourth. Tempering it out means the 4th is divided into an equal stepped tetrachord by means equating a stack of two 11/10 submajor seconds with [[40/33]] rather than by equating a stack of three [[6/5]] intervals with a [[16/9]] interval as in the [[Porcupine]] family of temperaments.
'''4000/3993''', the '''wizardharry comma''', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] comma with a size of roughly 3.03 [[cents]].  It is the amount by which a stack of three [[11/10]] submajor seconds falls short of the [[4/3]] perfect fourth. Tempering it out means the 4th is divided into an equal stepped tetrachord, however, it does this by means equating a stack of two 11/10 submajor seconds with [[40/33]] rather than by equating a stack of three [[6/5]] intervals with a [[16/9]] interval as in the [[Porcupine]] family of temperaments.


[[Category:11-limit]]
[[Category:11-limit]]
[[Category:Unnoticeable comma]]
[[Category:Unnoticeable comma]]

Revision as of 02:10, 26 December 2020

Interval information
Ratio 4000/3993
Factorization 25 × 3-1 × 53 × 11-3
Monzo [5 -1 3 0 -3
Size in cents 3.032314¢
Name wizardharry comma
Color name Triluyo comma
FJS name [math]\displaystyle{ \text{AA1}^{5,5,5}_{11,11,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 23.929
Weil norm (log2 max(n, d)) 23.9316
Wilson norm (sopfr(nd)) 61
Open this interval in xen-calc

4000/3993, the wizardharry comma, is an unnoticeable 11-limit comma with a size of roughly 3.03 cents. It is the amount by which a stack of three 11/10 submajor seconds falls short of the 4/3 perfect fourth. Tempering it out means the 4th is divided into an equal stepped tetrachord, however, it does this by means equating a stack of two 11/10 submajor seconds with 40/33 rather than by equating a stack of three 6/5 intervals with a 16/9 interval as in the Porcupine family of temperaments.