7edf: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''[[EDF|Division of the just perfect fifth]] into 7 equal parts''' (7EDF) is related to [[12edo|12 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched and the step size is about 100.2793 cents. The patent val has a generally sharp tendency for harmonics up to 21, with the exception for 11 and 13.
{{ED intro}}


Lookalikes: [[12edo]], [[19ed3]], [[31ed6]], [[43ed12]]
== Theory ==
7edf is related to [[12edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched and the step size is about 100.2793 cents. The patent val has a generally sharp tendency for harmonics up to 21, with the exception for 11 and 13.


==Harmonics==
Lookalikes: [[12edo]], [[19ed3]], [[31ed6]], [[43ed12]].
 
=== Harmonics ===
{{Harmonics in equal|7|3|2|prec=2|columns=15}}
{{Harmonics in equal|7|3|2|prec=2|columns=15}}


==Intervals==
== Intervals ==
{| class="wikitable"
{| class="wikitable center-1 right-2 center-3"
|-
|-
! #
! #
! Cents
! Cents
! 12edo notation
! 12edo Notation
|-
|-
| 1
| 1
| 100.2793
| 100.3
| C#, Db
| C#, Db
|-
|-
| 2
| 2
| 200.5586
| 200.6
| D
| D
|-
|-
| 3
| 3
| 300.8379
| 300.8
| D#, Eb
| D#, Eb
|-
|-
| 4
| 4
| 401.1171
| 401.1
| E
| E
|-
|-
| 5
| 5
| 501.3964
| 501.4
| F
| F
|-
|-
| 6
| 6
| 601.6757
| 601.7
| F#, Gb
| F#, Gb
|-
|-
| 7
| 7
| 701.955
| 702.0
| G
| G
|-
|-
| 8
| 8
| 802.2343
| 802.2
| G#, Ab
| G#, Ab
|-
|-
| 9
| 9
| 902.5136
| 902.5
| A
| A
|-
|-
| 10
| 10
| 1002.7929
| 1002.8
| A#, Bb
| A#, Bb
|-
|-
| 11
| 11
| 1103.0721
| 1103.1
| B
| B
|-
|-
| 12
| 12
| 1203.3514
| 1203.4
| C
| C
|-
|-
| 13
| 13
| 1303.6307
| 1303.6
| C#, Db
| C#, Db
|-
|-
| 14
| 14
| 1403.91
| 1403.9
| D
| D
|}
|}