7edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|7}}
{{EDO intro}}


== Theory ==
== Theory ==
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== Intervals ==
== Intervals ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+ Intervals of 7edo
|+ style="font-size: 105%;" | Intervals of 7edo
|-
! rowspan="2" | [[Degree]]
! rowspan="2" | [[Degree]]
! rowspan="2" | [[Cent]]s
! rowspan="2" | [[Cent]]s
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| [[10/9]] (-10.975)
| [[10/9]] (-10.975)
| [[54/49]] (+3.215)
| [[54/49]] (+3.215)
| [[11/10]] (+6.424)<br>[[32/29]] (-1.006)
| [[11/10]] (+6.424)<br />[[32/29]] (-1.006)
| [[File:0-171,43 second (7-EDO).mp3|frameless]]
| [[File:0-171,43 second (7-EDO).mp3|frameless]]
|-
|-
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|  
|  
| [[128/105]] (+0.048)
| [[128/105]] (+0.048)
| [[39/32]] (+0.374)<br>[[11/9]] (-4.551)
| [[39/32]] (+0.374)<br />[[11/9]] (-4.551)
| [[File:piano_2_7edo.mp3]]
| [[File:piano_2_7edo.mp3]]
|-
|-
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|  
|  
| [[105/64]] (-0.048)
| [[105/64]] (-0.048)
| [[18/11]] (+4.551)<br>[[64/39]] (-0.374)
| [[18/11]] (+4.551)<br />[[64/39]] (-0.374)
| [[File:0-857,14 sixth (7-EDO).mp3|frameless]]
| [[File:0-857,14 sixth (7-EDO).mp3|frameless]]
|-
|-
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| [[9/5]] (+10.975)
| [[9/5]] (+10.975)
| [[49/27]] (-3.215)
| [[49/27]] (-3.215)
| [[29/16]] (-1.006)<br>[[20/11]] (-6.424)
| [[29/16]] (-1.006)<br />[[20/11]] (-6.424)
|[[File:0-1028,57 seventh (7-EDO).mp3|frameless]]
|[[File:0-1028,57 seventh (7-EDO).mp3|frameless]]
|-
|-
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{| class="wikitable center-all"
{| class="wikitable center-all"
|+ Notation of 7edo
|+ style="font-size: 105%;" Notation of 7edo
|-
! rowspan="2" | [[Degree]]
! rowspan="2" | [[Degree]]
! rowspan="2" | [[Cent]]s
! rowspan="2" | [[Cent]]s
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In 7edo:
In 7edo:
* [[ups and downs notation]] is identical to circle-of-fifths notation;
* [[Ups and downs notation]] is identical to circle-of-fifths notation;
* mixed and pure [[sagittal notation]] are identical to circle-of-fifths notation.
* Mixed and pure [[sagittal notation]] are identical to circle-of-fifths notation.


=== Alternative notations ===
=== Alternative notations ===
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== Solfege ==
== Solfege ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+ Solfege of 7edo
|+ style="font-size: 105%;" Solfege of 7edo
|-
! [[Degree]]
! [[Degree]]
! [[Cents]]
! [[Cents]]
! Standard [[solfege]]<br>(movable do)
! Standard [[solfege]]<br />(movable do)
! [[Uniform solfege]]<br>(1 vowel)
! [[Uniform solfege]]<br />(1 vowel)
|-
|-
| 0
| 0
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{| class="commatable wikitable center-1 center-2 right-4 center-5"
{| class="commatable wikitable center-1 center-2 right-4 center-5"
|-
|-
! [[Harmonic limit| Prime<br>Limit]]
! [[Harmonic limit| Prime<br />Limit]]
! [[Ratio]]<ref group="note">Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! [[Ratio]]<ref group="note">Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! [[Monzo]]
! [[Monzo]]
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|  
|  
|}
|}
<references group="note" />


== Temperaments ==
== Temperaments ==
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== Ear training ==
== Ear training ==
7edo ear-training exercises by Alex Ness available [https://drive.google.com/folderview?id=0BwsXD8q2VCYUT3VEZUVmeVZUcmc&usp=drive_web#list here].
7edo ear-training exercises by Alex Ness available [https://drive.google.com/folderview?id=0BwsXD8q2VCYUT3VEZUVmeVZUcmc&usp=drive_web#list here].
== Notes ==
<references group="note" />


== References ==
== References ==
<references/>
<references />


[[Category:7-tone scales]]
[[Category:7-tone scales]]
[[Category:Macrotonal]]
[[Category:Macrotonal]]