Kite Guitar: Difference between revisions
→For Luthiers: major reorg and rewrite. several new paragraphs about compensation. |
→About 41-EDO: simplified table markup: added a space before the actual cell contents (this way - and + are not interpreted as meta chars), used the center-all class for all table columns, activated heading shading via ! instead of | before the cell |
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== About 41-EDO == | == About 41-EDO == | ||
[[41-edo]] approximates just intonation very closely. Prime 3 is extremely accurate, and primes 5 and 7 are both flat, which means their errors partially cancel out in ratios such as 7/5. Unfortunately prime 11 is sharp, so the errors add up, and 11/10 is nearly 11¢ sharp. | [[41-edo]] approximates just intonation very closely. Prime 3 is extremely accurate, and primes 5 and 7 are both flat, which means their errors partially cancel out in ratios such as 7/5. Unfortunately prime 11 is sharp, so the errors add up, and 11/10 is nearly 11¢ sharp. | ||
{| class="wikitable | {| class="wikitable center-all" | ||
! prime | |||
|2/1 | | 2/1 | ||
|3/2 | | 3/2 | ||
|5/4 | | 5/4 | ||
|7/4 | | 7/4 | ||
|11/8 | | 11/8 | ||
|13/8 | | 13/8 | ||
|17/16 | | 17/16 | ||
|19/16 | | 19/16 | ||
|- | |- | ||
! error | |||
|0.0¢ | | 0.0¢ | ||
| | | +0.48¢ | ||
| | | -5.8¢ | ||
| | | -3.0¢ | ||
| | | +4.8¢ | ||
| | | +8.3¢ | ||
| | | +12.1¢ | ||
| | | -4.8¢ | ||
|} | |} | ||
The 41 notes can be named with [[Ups and Downs Notation|ups and downs]]. A sharp equals four ups, and a minor 2nd equals three ups. | The 41 notes can be named with [[Ups and Downs Notation|ups and downs]]. A sharp equals four ups, and a minor 2nd equals three ups. | ||
{| class="wikitable | {| class="wikitable center-all" | ||
|+41-edo notes from C to D | |+ 41-edo notes from C to D | ||
|C | | C | ||
|^C | | ^C | ||
|^^C = vvC# | | ^^C = vvC# | ||
|vC# | | vC# | ||
|C# | | C# | ||
|^C# | | ^C# | ||
| | | | ||
| | | | ||
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| | | | ||
| | | | ||
|vDb | | vDb | ||
|Db | | Db | ||
|^Db | | ^Db | ||
|^^Db = vvD | | ^^Db = vvD | ||
|vD | | vD | ||
|D | | D | ||
|} | |} | ||
{| class="wikitable | {| class="wikitable center-all" | ||
|+41-edo intervals from P1 to M2 | |+ 41-edo intervals from P1 to M2 | ||
|P1 | | P1 | ||
|^1 | | ^1 | ||
|^^1 = vvA1 | | ^^1 = vvA1 | ||
|vA1 | | vA1 | ||
|A1 | | A1 | ||
|^A1 | | ^A1 | ||
| | | | ||
| | | | ||
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| | | | ||
| | | | ||
|vm2 | | vm2 | ||
|m2 | | m2 | ||
|^m2 | | ^m2 | ||
|~2 | | ~2 | ||
|vM2 | | vM2 | ||
|M2 | | M2 | ||
|} | |} | ||
All 41 intervals: | All 41 intervals: | ||
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[[File:The Kite Tuning lattices-2.png|left|thumb|400x400px]] | [[File:The Kite Tuning lattices-2.png|left|thumb|400x400px]] | ||
[[File:The Kite Tuning lattices-3.png|center|thumb|400x400px]] | [[File:The Kite Tuning lattices-3.png|center|thumb|400x400px]] | ||
== Tunings == | == Tunings == | ||