66edo: Difference between revisions

Dave Keenan (talk | contribs)
added Sagittal notation
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|66}}
{{ED intro}}


== Theory ==
== Theory ==
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The 66b val tempers out [[16875/16384]] in the 5-limit, [[126/125]], [[1728/1715]] and [[2401/2400]] in the 7-limit, [[99/98]] and [[385/384]] in the 11-limit, and [[105/104]], [[144/143]] and [[847/845]] in the 13-limit.
The 66b val tempers out [[16875/16384]] in the 5-limit, [[126/125]], [[1728/1715]] and [[2401/2400]] in the 7-limit, [[99/98]] and [[385/384]] in the 11-limit, and [[105/104]], [[144/143]] and [[847/845]] in the 13-limit.


109 steps of 66edo is extremely close to the [[acoustic pi]] with only +0.023 cents of error.
109 steps of 66edo is extremely close to the [[acoustic pi]] with only +0.023{{c}} of error.


=== Odd harmonics ===
=== Odd harmonics ===
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== Notation ==
== Notation ==
===Sagittal notation===
=== Sagittal notation ===
This notation uses the same sagittal sequence as [[59edo#Sagittal notation|59-EDO]], and is a superset of the notations for EDOs [[22edo#Sagittal notation|22]] and [[11edo#Sagittal notation|11]].
This notation uses the same sagittal sequence as [[59edo#Sagittal notation|59-EDO]], and is a superset of the notations for EDOs [[22edo#Sagittal notation|22]] and [[11edo#Sagittal notation|11]].
====Evo flavor====


==== Evo flavor ====
<imagemap>
<imagemap>
File:66-EDO_Evo_Sagittal.svg
File:66-EDO_Evo_Sagittal.svg
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</imagemap>
</imagemap>


====Revo flavor====
==== Revo flavor ====
 
<imagemap>
<imagemap>
File:66-EDO_Revo_Sagittal.svg
File:66-EDO_Revo_Sagittal.svg