8192/8019: Difference between revisions

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'''8192/8019''', the '''Alpharabian Inframinor Second''', is an interval that differs from [[4096/3993]], the Alpharabian paralimma, by [[243/242]], and differs from [[45/44]], the undecimal 1/5-tone, by the [[schisma]].
'''8192/8019''', the '''Alpharabian inframinor second''', is an interval that differs from [[4096/3993]], the Alpharabian paralimma, by [[243/242]], and differs from [[45/44]], the undecimal 1/5-tone, by the [[schisma]].


When treated as a comma to be tempered, and thus tempered out, the result is the obliteration of any distinction between the diatonic intervals of [[Pythagorean tuning]] and nearby paradiatonic intervals.
When treated as a comma to be tempered, and thus tempered out, the result is the obliteration of any distinction between the diatonic intervals of [[Pythagorean tuning]] and nearby paradiatonic intervals.

Revision as of 15:38, 6 May 2023

Interval information
Ratio 8192/8019
Factorization 213 × 3-6 × 11-1
Monzo [13 -6 0 0 -1
Size in cents 36.95205¢
Name Alpharabian inframinor second
FJS name [math]\displaystyle{ \text{m2}_{11} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 25.9692
Weil norm (log2 max(n, d)) 26
Wilson norm (sopfr(nd)) 55
Open this interval in xen-calc

8192/8019, the Alpharabian inframinor second, is an interval that differs from 4096/3993, the Alpharabian paralimma, by 243/242, and differs from 45/44, the undecimal 1/5-tone, by the schisma.

When treated as a comma to be tempered, and thus tempered out, the result is the obliteration of any distinction between the diatonic intervals of Pythagorean tuning and nearby paradiatonic intervals.

See also