15ed7/3: Difference between revisions

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m Intro harmonics
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{{Infobox ET}}
{{Infobox ET}}
{{ED intro}}
{{ED intro}}
== Theory ==
The chord [0 5 9]\15ed7/3, closely resembling the 5-limit major triad of [[15edo]], is a close approximation in this tuning system to [[3:4:5]]. A potentially tempered 15ed7/3 chain with octaves as the equivalence results in [[passion]] temperament, with 3:4:5:7 located on the same position that it is in 15ed7/3.
=== Harmonics ===
{{Harmonics in equal|15|7|3|columns=11}}
{{Harmonics in equal|15|7|3|columns=12|start=12|collapsed=1|title=Approximation of harmonics in 11ed7/3 (continued)}}


== Intervals ==
== Intervals ==
{| class="wikitable"
{| class="wikitable center-1 right-2"
!Degrees
! #
!ed7/3
! Cents
|-
|-
|1
| 1
|97.7914
| 97.8
|-
|-
|2
| 2
|195.5828
| 195.6
|-
|-
|3
| 3
|293.3742
| 293.4
|-
|-
|4
| 4
|391.1656
| 391.2
|-
|-
|5
| 5
|488.957
| 489.0
|-
|-
|6
| 6
|586.7484
| 586.7
|-
|-
|7
| 7
|684.5398
| 684.5
|-
|-
|8
| 8
|782.33115
| 782.3
|-
|-
|9
| 9
|880.1225
| 880.1
|-
|-
|10
| 10
|977.9139
| 977.9
|-
|-
|11
| 11
|1075.7053
| 1075.7
|-
|-
|12
| 12
|1173.4967
| 1173.5
|-
|-
|13
| 13
|1271.2881
| 1271.3
|-
|-
|14
| 14
|1369.0795
| 1369.1
|-
|-
|15
| 15
|1466.8709
| 1466.9
|}
|}
== Harmonics ==
{{Harmonics in equal
| steps = 15
| num = 7
| denom = 3
}}
{{Harmonics in equal
| steps = 15
| num = 7
| denom = 3
| start = 12
| collapsed = 1
}}