Kite Guitar: Difference between revisions

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TallKite (talk | contribs)
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== About 41-equal ==
== About 41-equal ==
[[41-edo|41-equal (aka 41edo)]] approximates 7-limit [[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|41-equal (aka 41edo)]] has steps of 29.27¢. It approximates 7-limit [[just intonation]] very closely. Prime 3 is extremely accurate, and primes 5 and 7 are both tuned flat, which means their errors partially cancel out in ratios such as 7/5. Prime 11 is also quite accurate. But unfortunately it's tuned sharp, so the errors can add up, and 11/10 is nearly 11¢ sharp. Primes 13 and 17 are further off, and accurate intonation requires microbending. 
{| class="wikitable center-all"
{| class="wikitable center-all"
! prime
! prime
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| -4.8¢
| -4.8¢
|}
|}
The 41 notes can be named with [[Ups and Downs Notation|ups and downs]]. A sharp equals four ups (two frets), 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 [[Arrow|arrows]] (two frets), and a minor 2nd equals three arrows.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+41-equal notes from C to D
|+41-equal notes from C to D
|style="width:75px;"| C
|style="width:75px;"| '''C'''
|style="width:75px;"| ^C
|style="width:75px;"| ^C
|style="width:75px;"| ^^C = vvC#
|style="width:75px;"| ^^C = vvC#
|style="width:75px;"| vC#
|style="width:75px;"| vC#
|style="width:75px;"| C#
|style="width:75px;"| '''C#'''
|style="width:75px;"| ^C#
|style="width:75px;"| ^C#
|style="width:75px;"|^^C#
|style="width:75px;"|^^C#
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|vvDb
|vvDb
| vDb
| vDb
| Db
| '''Db'''
| ^Db
| ^Db
| ^^Db = vvD
| ^^Db = vvD
| vD
| vD
| D
| '''D'''
|}
|}


{| class="wikitable center-all"
{| class="wikitable center-all"
|+41-equal intervals from P1 to M2
|+41-equal intervals from P1 to M2
|style="width:75px;"| P1
|style="width:75px;"| '''P1'''
|style="width:75px;"| ^1
|style="width:75px;"| ^1
|style="width:75px;"| ^^1 = vvA1
|style="width:75px;"| ^^1 = vvA1
|style="width:75px;"| vA1
|style="width:75px;"| vA1
|style="width:75px;"| A1
|style="width:75px;"| '''A1'''
|style="width:75px;"| ^A1
|style="width:75px;"| ^A1
|style="width:75px;"|^^A1
|style="width:75px;"|^^A1
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|vvm2
|vvm2
| vm2
| vm2
| m2
| '''m2'''
| ^m2
| ^m2
| ~2
| ~2
| vM2
| vM2
| M2
| '''M2'''
|}
|}
All 41 intervals (P = perfect, ~ = mid):
All 41 intervals (P = perfect, ~ = mid):