Dimigenes comma: Difference between revisions

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m BudjarnLambeth moved page 3359375/3359232 to Dimigenes comma: Long comma number
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| Ratio = 3359375/3359232
| Ratio = 3359375/3359232
| Name = dimigenes comma
| Name = dimigenes comma
| Color name = 43oy<sup>7</sup>-2, fothosepyo negative 2nd
| Comma = yes
| Comma = yes
}}
}}


'''3359375/3359232''', the '''dimigenes comma''', is a [[43-limit]] [[comma]], most notably present in the 2.3.5.43 subgroup. It is the difference between a stack of eight [[6/5]] minor thirds and 43/10, the latter being two octaves plus 43/40, a 43-limit minor second. While the name is constructed to evoke the name of a Greek philosopher, it is actually composed of ''dimi'', from ''diminished chord'', which is built by stacking minor thirds; and ''genes'', from [[Harry Partch's 43-tone scale|Partch's Genesis scale]], which has 43 tones in an octave.
'''3359375/3359232''', the '''dimigenes comma''', is a [[43-limit]] [[comma]], most notably present in the 2.3.5.43 subgroup. It is the difference between a stack of eight [[6/5]] minor thirds and 43/10, the latter being two octaves plus 43/40, a 43-limit minor second. While the name is constructed to evoke the name of a Greek philosopher, it is actually composed of ''dimi'', from ''diminished chord'', which is built by stacking minor thirds; and ''genes'', from [[Harry Partch's 43-tone scale|Partch's Genesis scale]], which has 43 tones in an octave.
[[Category:Commas named for their regular temperament properties]]

Latest revision as of 09:12, 3 November 2024

Interval information
Ratio 3359375/3359232
Subgroup monzo 2.3.5.43 [-9 -8 7 1
Size in cents 0.07369577¢
Name dimigenes comma
Color name 43oy7-2, fothosepyo negative 2nd
FJS name [math]\displaystyle{ \text{dd}{-2}^{5,5,5,5,5,5,5,43} }[/math]
Special properties reduced
Tenney height (log2 nd) 43.3595
Weil height (log2 max(n, d)) 43.3595
Wilson height (sopfr(nd)) 120
Comma size unnoticeable
Open this interval in xen-calc

3359375/3359232, the dimigenes comma, is a 43-limit comma, most notably present in the 2.3.5.43 subgroup. It is the difference between a stack of eight 6/5 minor thirds and 43/10, the latter being two octaves plus 43/40, a 43-limit minor second. While the name is constructed to evoke the name of a Greek philosopher, it is actually composed of dimi, from diminished chord, which is built by stacking minor thirds; and genes, from Partch's Genesis scale, which has 43 tones in an octave.