Kite Guitar originals: Difference between revisions
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This table lists all the intervals. There are 7 versions of every scale degree: 3 major versions, 3 minor versions, and a '''mid''' version midway between major and minor (e.g. ~2). The 7 fourths overlap with the 7 fifths, making 4 tritones. There are only 3 versions of the octave. Just like the notes, most intervals have alternate names. A few are shown here, e.g. aug unisons and aug 5ths. | This table lists all the intervals. There are 7 versions of every scale degree: 3 major versions, 3 minor versions, and a '''mid''' version midway between major and minor (e.g. ~2). The 7 fourths overlap with the 7 fifths, making 4 tritones. There are only 3 versions of the octave. Just like the notes, most intervals have alternate names. A few are shown here, e.g. aug unisons and aug 5ths. | ||
11 basic [[Ratio|frequency ratios]] are shown. There are 8 familiar | 11 basic [[Ratio|frequency ratios]] are shown. There are 8 familiar ratios that should "lock" right away, and 3 bolded ratios (7/6, 7/5 and 7/4) that will lock with a little practice. There are many more ratios, enough to fill the whole column! | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
! | ! | ||
| Line 882: | Line 882: | ||
|9 | |9 | ||
|263 | |263 | ||
|'''7/6 | |'''7/6''' | ||
| rowspan="7" |3rds | | rowspan="7" |3rds | ||
|vm3 | |vm3 | ||
| Line 899: | Line 899: | ||
|11 | |11 | ||
|322 | |322 | ||
|6/5 | |6/5 | ||
|^m3 | |^m3 | ||
|upminor 3rd | |upminor 3rd | ||
| Line 915: | Line 915: | ||
|13 | |13 | ||
|380 | |380 | ||
|5/4 | |5/4 | ||
|vM3 | |vM3 | ||
|downmajor 3rd | |downmajor 3rd | ||
| Line 973: | Line 973: | ||
|20 | |20 | ||
|585 | |585 | ||
|'''7/5 | |'''7/5''' | ||
|vA4 | |vA4 | ||
|downaug 4th | |downaug 4th | ||
| Line 1,039: | Line 1,039: | ||
|28 | |28 | ||
|820 | |820 | ||
|8/5 | |8/5 | ||
|^m6 | |^m6 | ||
|upminor 6th | |upminor 6th | ||
| Line 1,055: | Line 1,055: | ||
|30 | |30 | ||
|878 | |878 | ||
|5/3 | |5/3 | ||
|vM6 | |vM6 | ||
|downmajor 6th | |downmajor 6th | ||
| Line 1,079: | Line 1,079: | ||
|33 | |33 | ||
|966 | |966 | ||
|'''7/4 | |'''7/4''' | ||
| rowspan="7" |7ths | | rowspan="7" |7ths | ||
|vm7 | |vm7 | ||
| Line 1,175: | Line 1,175: | ||
But in 41-equal, G# ≠ Ab, the circle of fifths opens up into a spiral. Because this spiral is really a circle of 41 fifths, the innermost and outermost few notes are duplicates. In the 2nd chart, "-ish" means ±1 arrow. | But in 41-equal, G# ≠ Ab, and the circle of fifths opens up into a spiral. Because this spiral is really a circle of 41 fifths, the innermost and outermost few notes are duplicates. In the 2nd chart, "-ish" means ±1 arrow. | ||
[[File:41-edo spiral with notes and cents.png|left|thumb|400x400px]] | [[File:41-edo spiral with notes and cents.png|left|thumb|400x400px]] | ||
[[File:41-edo spiral.png|center|thumb|400x400px]] | [[File:41-edo spiral.png|center|thumb|400x400px]] | ||