User:BudjarnLambeth/Molar comma: Difference between revisions
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Ratio
704969/704000
Subgroup monzo
2.5.11.89 [-9 -3 -1 3⟩
Size in cents
2.381268¢
Name
Molar comma
Color name
89o31ug31
FJS name
[math]\displaystyle{ \text{A1}^{89,89,89}_{5,5,5,11} }[/math]
Special properties
reduced
Tenney norm (log2 nd)
38.8524
Weil norm (log2 max(n, d))
38.8544
Wilson norm (sopfr(nd))
311
Comma size
unnoticeable
Open this interval in xen-calc
mNo edit summary |
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{{Infobox Interval | {{Infobox Interval | ||
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'''704969/704000''', a.k.a. the '''molar comma''', is tempered out by the [[Batch 89 temperaments#Teefs|Teefs]] temperament. | |||
Tempering this comma ''on its own'' gives the molar temperament, a 2.5.11.89 [[subgroup]] tuning. | |||
== Molar == | |||
<pre> | |||
rank 3 | |||
subgroup 2.5.11.89 | |||
comma basis [ -9 -3 -1 3] 704969/704000 | |||
edos 6, 59, 65, 7, 13, 19, 5[+11, +89], 53, 52, 46, 66, 8[-5, -11, -89], 20[-89], 25[+11], 40 | |||
edo join 6 & 59 & 13 | |||
mapping | |||
1 2 3 6 | |||
0 1 0 1 | |||
0 0 3 1 | |||
preimage 2 5/4 89/80 | |||
WE tuning 1200.041 386.305 183.750 | |||
CWE tuning 1200.000 386.342 183.767 | |||
WE errors 0.041, 0.074, 0.055, -0.577 | |||
CWE errors 0.000, 0.028, -0.018, -0.771 | |||
badness 0.225 | |||
</pre> | |||
[[Category:Commas named after fictional characters]] | [[Category:Commas named after fictional characters]] | ||
Revision as of 23:05, 14 December 2024
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This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
| Interval information |
704969/704000, a.k.a. the molar comma, is tempered out by the Teefs temperament.
Tempering this comma on its own gives the molar temperament, a 2.5.11.89 subgroup tuning.
Molar
rank 3 subgroup 2.5.11.89 comma basis [ -9 -3 -1 3] 704969/704000 edos 6, 59, 65, 7, 13, 19, 5[+11, +89], 53, 52, 46, 66, 8[-5, -11, -89], 20[-89], 25[+11], 40 edo join 6 & 59 & 13 mapping 1 2 3 6 0 1 0 1 0 0 3 1 preimage 2 5/4 89/80 WE tuning 1200.041 386.305 183.750 CWE tuning 1200.000 386.342 183.767 WE errors 0.041, 0.074, 0.055, -0.577 CWE errors 0.000, 0.028, -0.018, -0.771 badness 0.225