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{{Infobox ET}}
{{Infobox ET}}
'''360 equal divisions of the octave''' ('''360edo'''), or '''360-tone equal temperament''' ('''360tet'''), '''360 equal temperament''' ('''360et''') when viewed from a [[regular temperament]] perspective, is the tuning system that divides the [[octave]] into 360 [[equal]] parts of {{ExactlyOrAbout| {{#expr: 1200/360 round 16}} }}{{cent}} each, a step size known as '''the Dröbisch angle'''.
{{EDO intro|360}}
 
One step of 360edo is known as '''the Dröbisch angle'''.


== Theory ==
== Theory ==
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=== Miscellaneous properties ===
=== Miscellaneous properties ===
In the 360b val, 360edo's fifth is the same as 12edo. Coincidentally, the difference between a just fifth and a 12edo one is known as the grad, being a variant of translation of "degree", and 1/360th of a circle is a degree.
In the 360b val, 360edo's fifth is the same as 12edo. Coincidentally, the difference between a just fifth and a 12edo one is known as the grad, being a variant of translation of "degree", and 1/360th of a circle is a degree.
360edo is used in the [[wikipedia:Eyeborg|eyeborg]], which maps its scale degrees onto color hues, thus converting color into sound waves. The device was originally intended to help colorblind individuals.
== Rank two temperaments by generator ==
{| class="wikitable center-all left-5"
!Periods<br>per 8ve
!Generator<br>(reduced)
!Cents<br>(reduced)
!Associated<br>ratio
!Temperaments
|-
|1
|119\360
|396.67
|44/35
|[[Squarschmidt]]
|-
|2
|53\360
|176.67
|448/405
|[[Ragismic microtemperaments#Quatracot|Quatracot]]
|-
|3
|211\360<br>(91\360)
|703.33<br>(303.33)
|3/2
|[[Misty]]
|-
|4
|23\360
|76.67
|4302592/4100625
|[[Reenactment]]
|-
|9
|211\360<br>(11\360)
|703.33<br>(36.67)
|3/2
|[[Trimisty]]
|-
|20
|211\360<br>(13\360)
|703.33<br>(43.33)
|3/2<br>(45/44)
|[[Degrees]]
|}


== Table of intervals ==
== Table of intervals ==
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|
|
|}
|}
==Regular temperament properties==
===Rank-2 temperaments ===
{| class="wikitable center-all left-5"
!Periods<br>per 8ve
!Generator<br>(reduced)
!Cents<br>(reduced)
!Associated<br>ratio
!Temperaments
|-
|1
|119\360
|396.67
|44/35
|[[Squarschmidt]]
|-
|2
|53\360
|176.67
|448/405
|[[Ragismic microtemperaments#Quatracot|Quatracot]]
|-
|3
|211\360<br>(91\360)
|703.33<br>(303.33)
|3/2
|[[Misty]]
|-
|4
|23\360
|76.67
|4302592/4100625
|[[Reenactment]]
|-
|9
|211\360<br>(11\360)
|703.33<br>(36.67)
|3/2
|[[Trimisty]]
|-
|20
|211\360<br>(13\360)
|703.33<br>(43.33)
|3/2<br>(45/44)
|[[Degrees]]
|}
==Music==
==Music==
* [https://www.youtube.com/watch?v=VSKqwJkWu_U Idyllic Tribe] by [[User:Eliora|Eliora]]
* [https://www.youtube.com/watch?v=VSKqwJkWu_U Idyllic Tribe] by [[User:Eliora|Eliora]]
==Application as a logarithmic scale outside of music==
360edo is used in the [[wikipedia:Eyeborg|eyeborg]], which maps its scale degrees onto color hues, thus converting color into sound waves. The device was originally intended to help colorblind individuals.


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
Retrieved from "https://en.xen.wiki/w/360edo"