Niobium comma: Difference between revisions

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'''Niobium comma''' (monzo: {{Monzo|-875 492 41}}) is an unnoticeable 5-limit comma measuring about 0.7 cents.
The '''niobium comma''' (monzo: {{Monzo|-875 492 41}}) is an unnoticeable 5-limit comma measuring about 0.7 cents.


== Temperaments ==
== Temperaments ==
Niobium comma can be regarded as the 41st-octave counterpart of [[Kirnberger's atom]]. Just as Kirnberger's atom splits the octave into 12 equal parts, and its generator is the difference between the just and 12 tone tempered fifth, niobium comma splits the octave into 41 parts, and the reduced generator is a tiny interval that stands for the difference between the most just and the 41edo-inherited fifth of temperaments supporting it.
The niobium comma can be regarded as the 41st-octave counterpart of [[Kirnberger's atom]]. Just as Kirnberger's atom splits the octave into 12 equal parts, and its generator is the difference between the just and 12 tone tempered fifth, the niobium comma splits the octave into 41 parts, and the reduced generator is a tiny interval that stands for the difference between the most just and the 41edo-inherited fifth of temperaments supporting it.

Revision as of 15:53, 11 February 2023

Interval information
Factorization 2-875 × 3492 × 541
Monzo [-875 492 41
Size in cents 0.7226942¢
Name niobium comma
FJS name [math]\displaystyle{ \text{93d}{-58}^{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 1750
Weil norm (log2 max(n, d)) 1750
Wilson norm (sopfr(nd)) 3431
Comma size unnoticeable
Open this interval in xen-calc

The niobium comma (monzo: [-875 492 41) is an unnoticeable 5-limit comma measuring about 0.7 cents.

Temperaments

The niobium comma can be regarded as the 41st-octave counterpart of Kirnberger's atom. Just as Kirnberger's atom splits the octave into 12 equal parts, and its generator is the difference between the just and 12 tone tempered fifth, the niobium comma splits the octave into 41 parts, and the reduced generator is a tiny interval that stands for the difference between the most just and the 41edo-inherited fifth of temperaments supporting it.