User:Lucius Chiaraviglio/Keyboard Layout Lab/Non-Octave Lumatone mappings: Difference between revisions
→= 7ed8/5 (demonstrated to work but awaiting approval: Had the wrong numbers for the scale steps |
→13edf (demonstrated to work but awaiting approval): Got approval; fix confusing wording identifying first and last equaves |
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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. | 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 ED17/16 == | |||
=== 1ed17/16 (demonstrated to work === | |||
[[Bryan Deister]] has demonstrated a mapping of [[1ed17/16]], in [https://www.youtube.com/shorts/2tFoaxCOngI ''equal step 17/16''] (2025). This is implemented as a 2L 2s scale in a repeat space of 10 instances of 17/16. | |||
{{Lumatone EDO mapping|n=10|start=0|xstep=3|ystep=-1}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:35, 3 November 2025 (UTC)<br> | |||
Last Modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 23:35, 3 November 2025 (UTC) | |||
== Unnamed Temperament Lumatone mappings ED7/6 == | |||
=== 9ed7/6 (demonstrated to work) === | |||
[[Bryan Deister]] has demonstrated a mapping of [[9ed7/6]] using a zig-zag [[1L 1s (7/6-equivalent)]] scale having a 5:4 step ratio, in [https://www.youtube.com/shorts/7d27rPY0a50 ''9ed(7/6) improv''] (2025). Notes appear to be the same in rows, but actually progress higher by a whole [[equave]] (septimal minor third [[7/6]]) at a time. | |||
{{Lumatone EDO mapping|n=9|start=4|xstep=9|ystep=-5}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 18:14, 20 October 2025 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:20, 24 October 2025 (UTC) | |||
== Unnamed Temperament Lumatone mappings ED4/3 == | == Unnamed Temperament Lumatone mappings ED4/3 == | ||
=== 8ed4/3 (demonstrated to work | === 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) == | ||
=== | === 13edf (demonstrated to work but awaiting approval) === | ||
[[Bryan Deister]] has demonstrating a mapping of [[13edf]] using a [[1L 1s (3/2-equivalent)]] scale having a 7:6 step ratio, in [https://www.youtube.com/watch?v=8oDt4CfjOyw&list=WL&index=340 ''13ed(3/2) improv''] (2026). This makes the fifths slope downwards (with a wraparound for all but the root note), but the range is 16 fifths contiguous, or 18 fifths if counting the bass and treble fifths that have some missed notes. | |||
{{Lumatone EDO mapping|n=13|start=7|xstep=6|ystep=1}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:59, 6 May 2026 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:30, 8 May 2026 (UTC) | |||
=== 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 [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 1s (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 | === 7ed8/5 (demonstrated to work) === | ||
[[Bryan Deister]] has demonstrated a mapping of [[7ed8/5]] using a [[ | [[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 [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 1s (4096/625-equivalent)]] having a 5:3 step ratio. | ||
{{Lumatone EDO mapping|n=7|start=0|xstep= | {{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: | Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:41, 23 October 2025 (UTC) | ||