Kite Guitar: Difference between revisions

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== About 41-equal ==

[[41-edo|41-equal]] 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|41-equal]] 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.

{| class="wikitable center-all"

! prime

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|perfect 8ve

|}

~~This chart shows~~ 41-equal in terms of 12-equal. "-ish" means ±1 edostep. The 12 categories circled in red correspond to the notes of 12-equal. The two innermost and two outermost intervals are duplicates. [[File:41-edo_spiral.png|left|thumb|400x400px]] [[File:41-edo_spiral_with_notes.png|center|thumb|400x400px]]

These charts show the intervals and the notes of the conventional 12-equal (or 12-edo) tuning as a circle of 5ths.

[[File:12-edo circle with notes.png|thumb|417x417px]]

[[File:12-edo circle of 5ths.png|none|thumb|403x403px]]

These charts show 41-equal in terms of 12-equal. The circle of fifths becomes a spiral. "-ish" means ±1 edostep. The 12 categories circled in red correspond to the notes of 12-equal. The two innermost and two outermost intervals are duplicates. [[File:41-edo_spiral.png|left|thumb|400x400px]] [[File:41-edo_spiral_with_notes.png|center|thumb|400x400px]]

@@ Line 49: / Line 49: @@
 == About 41-equal ==
-[[41-edo|41-equal]] 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|41-equal]] 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.
 {| class="wikitable center-all"
 ! prime
@@ Line 435: / Line 435: @@
 |perfect 8ve
 |}
-This chart shows 41-equal in terms of 12-equal. "-ish" means ±1 edostep. The 12 categories circled in red correspond to the notes of 12-equal. The two innermost and two outermost intervals are duplicates. [[File:41-edo_spiral.png|left|thumb|400x400px]] [[File:41-edo_spiral_with_notes.png|center|thumb|400x400px]]
+These charts show the intervals and the notes of the conventional 12-equal (or 12-edo) tuning as a circle of 5ths.
+[[File:12-edo circle with notes.png|thumb|417x417px]]
+[[File:12-edo circle of 5ths.png|none|thumb|403x403px]]
+These charts show 41-equal in terms of 12-equal. The circle of fifths becomes a spiral. "-ish" means ±1 edostep. The 12 categories circled in red correspond to the notes of 12-equal. The two innermost and two outermost intervals are duplicates. [[File:41-edo_spiral.png|left|thumb|400x400px]] [[File:41-edo_spiral_with_notes.png|center|thumb|400x400px]]