User:Lucius Chiaraviglio/Keyboard Layout Lab/Non-Octave Lumatone mappings: Difference between revisions

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→= 7ed8/5 (demonstrated to work but awaiting approval: Had the number of equaves counted from the colors in the video — instead use the number of octaves from the sound
Got approval for 8ed4/3 and 60edf mappings; revise 7ed8/5 mapping as instructed
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== Unnamed Temperament Lumatone mappings ED4/3 ==
== Unnamed Temperament Lumatone mappings ED4/3 ==


=== 8ed4/3 (demonstrated to work but awaiting approval) ===
=== 8ed4/3 (demonstrated to work) ===


[[Bryan Deister]] has demonstrated a mapping of [[8ed4/3]] using a [[1L 4s (4/3-equivalent)]] scale (oriented nearly vertically) having a 4:1 step ration, in [https://www.youtube.com/shorts/xvvoQHHRzwE ''8ed(4/3) improv''] (2025).
[[Bryan Deister]] has demonstrated a mapping of [[8ed4/3]] using a [[1L 4s (4/3-equivalent)]] scale (oriented nearly vertically) having a 4:1 step ration, in [https://www.youtube.com/shorts/xvvoQHHRzwE ''8ed(4/3) improv''] (2025).
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{{Lumatone EDO mapping|n=8|start=0|xstep=4|ystep=-1}}
{{Lumatone EDO mapping|n=8|start=0|xstep=4|ystep=-1}}


Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:59, 18 October 2025 (UTC)
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:59, 18 October 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:33, 20 October 2025 (UTC)


== Unnamed Temperament Lumatone mappings ED3/2 (EDF) ==
== Unnamed Temperament Lumatone mappings ED3/2 (EDF) ==


=== 60edf (demonstrated to work but awaiting approval) ===
=== 60edf (demonstrated to work) ===


[[Bryan Deister]] has demonstrated a mapping of [[60edf]] using a [[5L&nbsp;1s&nbsp;(3/2-equivalent)]] scale having a 11:5 step ratio, in [https://www.youtube.com/shorts/h4tF_w2nIcY ''60ed(3/2) improv''] (2025). It takes advantage of nearly equal errors in the 2nd and 13th harmonics and a near-just 7th harmonic to make the (rightward) generator a near-just tridecimal 2/3-tone (~[[14/13]]), as 11\60ed3/2, and three of these yield the sound of a classic major third (as 33\60ed3/2), although ~[[5/4]] itself is mapped inconsistently to 32\60ed3/2. The range is a bit over five fifths with a moderate upwards slope, but at the cost of missing a few notes in each fifth.
[[Bryan Deister]] has demonstrated a mapping of [[60edf]] using a [[5L&nbsp;1s&nbsp;(3/2-equivalent)]] scale having a 11:5 step ratio, in [https://www.youtube.com/shorts/h4tF_w2nIcY ''60ed(3/2) improv''] (2025). It takes advantage of nearly equal errors in the 2nd and 13th harmonics and a near-just 7th harmonic to make the (rightward) generator a near-just tridecimal 2/3-tone (~[[14/13]]), as 11\60ed3/2, and three of these yield the sound of a classic major third (as 33\60ed3/2), although ~[[5/4]] itself is mapped inconsistently to 32\60ed3/2. The range is a bit over five fifths with a moderate upwards slope, but at the cost of missing a few notes in each fifth.
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{{Lumatone EDO mapping|n=60|start=3|xstep=11|ystep=-6}}
{{Lumatone EDO mapping|n=60|start=3|xstep=11|ystep=-6}}


Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:59, 18 October 2025 (UTC)
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:59, 18 October 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:33, 20 October 2025 (UTC)


== Unnamed Temperament Lumatone mappings ED8/5 ==
== Unnamed Temperament Lumatone mappings ED8/5 ==


=== 7ed8/5 (demonstrated to work but awaiting approval ==
=== 7ed8/5 (demonstrated to work but awaiting approval ===


[[Bryan Deister]] has demonstrated a mapping of [[7ed8/5]] using a [[2L&nbsp;1s (8/5-equivalent)]] scale having a 3:1 step ratio, in [https://www.youtube.com/shorts/Ex3EKrUt8q8 ''7ed(8/5) improv''] (2025). Right by one key is 3\7ed8/5 to yield a slightly flat neutral third (~11/9]]), which means that two of them make a mildly flat fifth (~[[3/2]]), while down-right by one key is 1\7ed8/5, which is a somewhat wide diatonic semitone (~[[16/15]]), which means that Up is 2\7ed8/5, which is a near-just septimal whole tone (~[[8/7]]). '''(Caution:  These intervals have not been checked for consistent mapping.)''' The range is nearly twelve instances of 8/5, and the 8/5 slope is very gently downward.
[[Bryan Deister]] has demonstrated a mapping of [[7ed8/5]] using a [[1L&nbsp;1s (8/5-equivalent)]] scale having a 5:2 step ratio and rotated to proceed right and up, in [https://www.youtube.com/shorts/Ex3EKrUt8q8 ''7ed(8/5) improv''] (2025). Right by one key is 5\7ed8/5, which yields a near-just ~[[7/5]] but also gets mapped as a very flat (but still consistent) ~[[10/7]]; two of these yield a very flat octave (~[[2/1]]). Down-right by one key is 3\7ed8/5, which functions as a fairly sharp ~[[17/14]] and a very flat ~[[21/17]]. Up one key is 2\7ed8/5, which sounds like a near-just septimal whole tone (~[[8/7]]), but actual ~8/7 is instead inconsistently mapped to 1\7ed8/5, thus requiring 2\7ed8/5 to be mapped as a very sharp ~[[9/8]] or a fairly flat ~[[15/13]]. Superficially, the range appears to be slightly over five instances of 8/5, and the overall 8/5 slope is very gently upward; however, due to the rotated and very wide-stepping scale pattern, the actual range is over nineteen octaves (as demonstrated in the video by the production of some extremely high notes); proceeding in the normal rightward and slightly downward direction instead yields a scale of [[5L&nbsp;1s (4096/625-equivalent)]] having a 5:3 step ratio.


{{Lumatone EDO mapping|n=7|start=0|xstep=3|ystep=-2}}
{{Lumatone EDO mapping|n=7|start=0|xstep=5|ystep=-2}}


Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:42, 19 October 2025 (UTC)<br>
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:42, 19 October 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:46, 19 October 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:33, 20 October 2025 (UTC)

Revision as of 03:33, 20 October 2025

This page is for Lumatone mappings for non-octave tuning systems. Identifying a temperament for non-octave tunings will be difficult due to lack of exploration compared to octave temperaments, so that is currently not a factor for separation of pages.

Unnamed Temperament Lumatone mappings ED4/3

8ed4/3 (demonstrated to work)

Bryan Deister has demonstrated a mapping of 8ed4/3 using a 1L 4s (4/3-equivalent) scale (oriented nearly vertically) having a 4:1 step ration, in 8ed(4/3) improv (2025).

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4
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2
6

Added: Lucius Chiaraviglio (talk) 06:59, 18 October 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 03:33, 20 October 2025 (UTC)

Unnamed Temperament Lumatone mappings ED3/2 (EDF)

60edf (demonstrated to work)

Bryan Deister has demonstrated a mapping of 60edf using a 5L 1s (3/2-equivalent) scale having a 11:5 step ratio, in 60ed(3/2) improv (2025). It takes advantage of nearly equal errors in the 2nd and 13th harmonics and a near-just 7th harmonic to make the (rightward) generator a near-just tridecimal 2/3-tone (~14/13), as 11\60ed3/2, and three of these yield the sound of a classic major third (as 33\60ed3/2), although ~5/4 itself is mapped inconsistently to 32\60ed3/2. The range is a bit over five fifths with a moderate upwards slope, but at the cost of missing a few notes in each fifth.

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41
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18
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39
50
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12
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34
45
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18
29
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2
0
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44
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16
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38
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0
11
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44
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32
43
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16
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44
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43
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42
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15
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21
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14
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20
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42
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25
36
47
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20
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14
35
46
57
8
19
2
13

Added: Lucius Chiaraviglio (talk) 06:59, 18 October 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 03:33, 20 October 2025 (UTC)

Unnamed Temperament Lumatone mappings ED8/5

7ed8/5 (demonstrated to work but awaiting approval

Bryan Deister has demonstrated a mapping of 7ed8/5 using a 1L 1s (8/5-equivalent) scale having a 5:2 step ratio and rotated to proceed right and up, in 7ed(8/5) improv (2025). Right by one key is 5\7ed8/5, which yields a near-just ~7/5 but also gets mapped as a very flat (but still consistent) ~10/7; two of these yield a very flat octave (~2/1). Down-right by one key is 3\7ed8/5, which functions as a fairly sharp ~17/14 and a very flat ~21/17. Up one key is 2\7ed8/5, which sounds like a near-just septimal whole tone (~8/7), but actual ~8/7 is instead inconsistently mapped to 1\7ed8/5, thus requiring 2\7ed8/5 to be mapped as a very sharp ~9/8 or a fairly flat ~15/13. Superficially, the range appears to be slightly over five instances of 8/5, and the overall 8/5 slope is very gently upward; however, due to the rotated and very wide-stepping scale pattern, the actual range is over nineteen octaves (as demonstrated in the video by the production of some extremely high notes); proceeding in the normal rightward and slightly downward direction instead yields a scale of 5L 1s (4096/625-equivalent) having a 5:3 step ratio.

0
5
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1
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1
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1
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0

Added: Lucius Chiaraviglio (talk) 07:42, 19 October 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 03:33, 20 October 2025 (UTC)

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