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.
{{Novelty}}
'''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 f, 2f, 4f, 16f, 65536f, 2<sup>65536</sup>f, etc.  
== Intervals ==
== Intervals ==
{| class="wikitable"
{| class="wikitable"
Line 6: Line 7:
!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
|}
|}
[[Category:Equal divisons of the superoctave]]
[[Category:Tetration]]
[[Category:Transcendental]]

Latest revision as of 19:20, 26 March 2025

This page presents a novelty topic.

It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex.

Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

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 f, 2f, 4f, 16f, 65536f, 265536f, etc.

Intervals

Step Linear value Cents
0 1 0.000
1 2 1200.000