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User:Romeolz/Isomorphic layouts/Harmonic Table extensions: Difference between revisions

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m table
Romeolz (talk | contribs)
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fourths, blackwood continuum and table math
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=== Ones that are part of analogous equivalence continua, all kinds of thirds ===
=== Ones that are part of analogous equivalence continua, all kinds of thirds ===
The "augmented" continuum:


==== Dicot/Mohajira ====
==== Dicot/Mohajira ====
Line 273: Line 274:
|
|
|}
|}
And the "diminished" continuum:


==== Sixix/Amity ====
==== Sixix/Amity ====
Line 314: Line 316:
|Diminished
|Diminished
648/625
648/625
|???
|
625/512
|-
|-
!
!
Line 321: Line 322:
|Sixix
|Sixix
3125/2916
3125/2916
|Lemba
|???
140625/131072
9375/8192
|-
|-
!
!
Line 328: Line 329:
|???
|???
15625/13122
15625/13122
|Lemba
140625/131072
|-
!
!3
|
|Orson
|Orson
[-21 3 7
[-21 3 7
|-
|-
!
!
!3
!4
|
|
|???
[25 -4 -8
|}
=== Alternate thirds outside the continua ===
The "blackwood" continuum:
==== 8/3 in 6 283c ====
[[File:"HT" fourths (8-3)^(1-6).png|none|thumb|600x600px|basically 17edo]]
==== Sensi, 32/9 in 7 314c ====
[[File:"HT" fourths (32-9)^(1-7).png|none|thumb|600x600px|possibly some merit to this one]]
==== Continuation of this "blackwood" pattern ====
{| class="wikitable"
|+((2/1)*(4/3)^m)^(1/(m+5))
!m
!interval
!parts
!cents of third
|-
|0
|2/1
|5
|240 (3rd?)
|-
|1
|8/3
|6
|283
|-
|2
|32/9
|7
|314
|-
|3
|128/27
|8
|todo
|todo
|-
|-
!
|4
!4
|512/81
|9
|
|
|-
|5
|2048/243
|10
|
|
|}
|}
There are more continua but their octaves are already massive.


=== Alternative thirds outside the continua ===
=== Alternate sixths/seconds ===
i don't have the energy to search these now
asdfhjköä
 
alternate thirds sixths n stuff for this one too


== Hemifourths/fifths (???) ==
== Hemifourths/fifths (???) ==
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