41edo Keyboards: Difference between revisions

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== Layouts ==
== Layouts ==


=== Full-41 Layouts ===
=== Full-41 layout===
One could have a full-41 layout, with keys one edostep apart. For example, the [https://hpi.zentral.zone/tonalplexus Tonal Plexus] layout, but omitting 80% of the keys. Or various Lumatone layouts. But chord shapes would be half as compact. Also it's desirable to be able to switch from Kite guitar to Kite keyboard easily.   
The obvious full-41 layout has keys one edostep apart adjacent to each other, forming a column. The top of one column "jumps" to the bottom of the next column. It's like the [https://hpi.zentral.zone/tonalplexus Tonal Plexus] layout, but omitting 80% of the keys to reduce 205-edo to 41-edo. This picture shows 2 octaves, with the white keys running C to C. Each white key has a sharp (upper right) and a flat (lower left).
[[File:41edo keyboard layout.png|none|thumb|395x395px]]  


=== 1st layout ===
Various hexagonal Lumatone layouts are a possibility too.
[[File:The Kite Tuning 3.png|none|thumb|879x879px]]


The obvious layout duplicates the Kite guitar exactly. One hand plays in each rainbow zone. For most notes, you can roll on that note with both hands, good for rhythmically dense music.  
===1st skip-key layout===
Skipping every other key like the Kite guitar skips frets makes chord shapes twice as compact. Also it makes it easy to switch from Kite guitar to Kite keyboard. The obvious layout duplicates the Kite guitar exactly. One hand plays in each rainbow zone. For most notes, you can roll on that note with both hands, good for rhythmically dense music.[[File:The Kite Tuning 3.png|none|thumb|879x879px]]


This picture matches the 8x25 Linnstrument, if you omit the first column and add 1 row. But the Linnstrument would have only a 3 octave range. And it gives you 2 full rainbow zones in only 6 keys! These 6 tonics are found in the 2x3 rectangle in the bottom 3 rows, in the columns marked "-1" and "0".  
This picture matches the 8x25 Linnstrument, if you omit the first column and add 1 row. But the Linnstrument would have only a 3 octave range. And it gives you 2 full rainbow zones in only 6 keys! These 6 tonics are found in the 2x3 rectangle in the bottom 3 rows, in the columns marked "-1" and "0".  
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30 columns makes a 7x3 rectangle = 21 keys. To get a 13x3 rectangle = 39 keys, we need 36 columns. If one ever needed to play in the other 2 keys, they would still work. One would just give up the high ^M6. Or go to 37 columns, or 40 or even 45 or 50 to let you play [[Kite Guitar Translations by Kite Giedraitis#I Will Survive .28Gloria Gaynor.29|"I Will Survive"]] in any key. (This song "walks" all over the fretboard.) To get a full 5 octave range, more rows are needed. 14 rows makes 5 octaves. 14 x 30 = 420 keys and 14 x 40 = 560 keys.  
30 columns makes a 7x3 rectangle = 21 keys. To get a 13x3 rectangle = 39 keys, we need 36 columns. If one ever needed to play in the other 2 keys, they would still work. One would just give up the high ^M6. Or go to 37 columns, or 40 or even 45 or 50 to let you play [[Kite Guitar Translations by Kite Giedraitis#I Will Survive .28Gloria Gaynor.29|"I Will Survive"]] in any key. (This song "walks" all over the fretboard.) To get a full 5 octave range, more rows are needed. 14 rows makes 5 octaves. 14 x 30 = 420 keys and 14 x 40 = 560 keys.  


=== 2nd layout ===
===2nd skip-key layout ===
You could rotate the layout 90 degrees so that one long rainbow zone runs sideways. "Strings" are now columns not rows, like the Harpejji. This is more like a piano layout, runs mainly left to right, not down to up.   
You could rotate the layout 90 degrees so that one long rainbow zone runs sideways. "Strings" are now columns not rows, like the Harpejji. This is more like a piano layout, runs mainly left to right, not down to up.   


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Ideally a midi keyboard could switch between both layouts. Encompassing both 14x40 and 16x24 requires 16x40 = 640 keys. A 2x2 array of four Linnstruments makes 16x50. Total cost is $6000.  
Ideally a midi keyboard could switch between both layouts. Encompassing both 14x40 and 16x24 requires 16x40 = 640 keys. A 2x2 array of four Linnstruments makes 16x50. Total cost is $6000.  


== High-end Options ==
== High-end Options==
Linnstrument options are described above.
Linnstrument options are described above.


=== Harpejji Options ===
===Harpejji Options===
In the chart above, the rows are strings. The player is on the left, facing right. If the lowest string is on the player's left, all the guitar chord shapes would be flipped to their mirror image. Rather than having a luthier refret it, it's probably best to get Marcodi to do a custom fretting, better in the long run for later customers. Note that the intra-string gap changes from 2\12 to 13\41, so new string gauges are needed.   
In the chart above, the rows are strings. The player is on the left, facing right. If the lowest string is on the player's left, all the guitar chord shapes would be flipped to their mirror image. Rather than having a luthier refret it, it's probably best to get Marcodi to do a custom fretting, better in the long run for later customers. Note that the intra-string gap changes from 2\12 to 13\41, so new string gauges are needed.   


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Assuming the 16-string model, and estimating $1000 setup costs and $500 increased parts and labor, the total cost would be $5500 for the first one, and $4500 for future orders.  
Assuming the 16-string model, and estimating $1000 setup costs and $500 increased parts and labor, the total cost would be $5500 for the first one, and $4500 for future orders.  


== DIY Options ==
==DIY Options==


=== Reed Organ ===
===Reed Organ===
If it's acceptable to do without dynamics, one can make a giant reed organ instrument fairly cheaply. It would use reeds from accordions or harmonicas. Such reeds are not too hard to tune by hand. A 10-hole harmonica supplies 20 reeds. The keyboard could be modeled after an accordion's button keyboard. A foot pump or an electric motor would pump air.   
If it's acceptable to do without dynamics, one can make a giant reed organ instrument fairly cheaply. It would use reeds from accordions or harmonicas. Such reeds are not too hard to tune by hand. A 10-hole harmonica supplies 20 reeds. The keyboard could be modeled after an accordion's button keyboard. A foot pump or an electric motor would pump air.