86/85: Difference between revisions

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{{Infobox Interval}}
{{Infobox Interval
| Comma = yes
| Name = 43-limit 10th-tone, greater quadragesimotertial 10th-tone
| Color name = 43o17ug1, fothosugu 1sn }}


86/85 is a [[43-limit]] (2.5.17.43 subgroup) comma of about 20.25 [[cents]]. [[User:MisterShafXen]] suggests the name 43-limit 10th-tone for this interval, as it is 0.25 cents or so from the step of [[60edo]].
'''86/85''' is a [[43-limit]] (2.5.17.43 subgroup) [[comma]] of about 20.25 [[cent]]s. [[Mister Shaf]] suggests the name '''43-limit 10th-tone''' for this interval, as it is 0.25 cents or so from the step of [[60edo]].


== Temperaments ==
== Temperaments ==
Tempering out this comma in the full 43-limit results in a rank-11 temperament.
[[Tempering out]] this comma in the full 43-limit results in a rank-11 [[temperament]].


Tempering out this comma in the 2.5.17.43 subgroup results in a rank-3 temperament.
Tempering out this comma in the 2.5.17.43 subgroup results in a rank-3 temperament.


Mapping: [(1 0 0 -1] (0 1 0 1] (0 0 1 1])
=== 2.5.17.43 Fothosugu (3&9&13n) ===
Subgroup: 2.5.17.43


TE Tuning: ~2=1199.615, ~5=2788.391, ~17=4911.394, ~43=6500.171
Mapping: [{{val|1 0 0 -1}} {{val|0 1 0 1}} {{val|0 0 1 1}}]
 
TE Tuning: ~2 = 1199.615, ~5 = 2788.391, ~17 = 4911.394
 
EDOs: {{Optimal ET sequence| 3, 9, 13n, 22 }}
 
== See also ==
* [[87/86]] – lesser quadragesimotertial 10th-tone
 
[[Category:Commas named after their interval size]]