User:CompactStar/1edso: Difference between revisions

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Created page with "'''1 equal division of the superoctave''' is a trivial tuning system that contains a single note and the superoctaves above and below that note, thus the frequencies 0, f, 2f,..."
 
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'''1 equal division of the superoctave''' is a trivial tuning system that contains a single note and the superoctaves above and below that note, thus the frequencies 0, f, 2f, 4f, 16f, 65536f, etc.
'''1 equal division of the superoctave''' is a trivial tuning system that contains a single note and the superoctaves above and below that note, thus the frequencies 0, f, 2f, 4f, 16f, 65536f, 2<sup>65536</sup>f, etc.
== Intervals ==
== Intervals ==
{| class="wikitable"
{| class="wikitable"
Line 6: Line 6:
!Linear value
!Linear value
!Cents
!Cents
!Tetrative intervals
!Common JI approximation
|-
|-
|0
|0
|1
|1
|0.000
|0.000
|
|[[1/1]] exact
|-
|-
|1
|1
|1.11149118
|182.996
|
|[[10/9]]
|-
|2
|1.22436140
|350.435
|log(log(5)) = [[5/1]] reduced
|[[5/4]], [[11/9]]
|-
|3
|1.33973255
|506.334
|
|[[4/3]]
|-
|4
|1.45878181
|653.717
|
|[[16/11]], [[19/13]]
|-
|5
|1.58278746
|794.961
|log(3) = [[3/1]] reduced
|[[8/5]], [[11/7]], [[19/12]]
|-
|6
|1.71318047
|932.013
|
|[[12/7]]
|-
|7
|1.85160598
|1066.533
|
|[[11/6]], [[13/7]]
|-
|8
|2
|2
|1200.000
|1200.000
|
|[[2/1]] exact
|}
|}



Revision as of 22:17, 1 July 2023

1 equal division of the superoctave is a trivial tuning system that contains a single note and the superoctaves above and below that note, thus the frequencies 0, f, 2f, 4f, 16f, 65536f, 265536f, etc.

Intervals

Step Linear value Cents
0 1 0.000
1 2 1200.000