33edo: Difference between revisions
→Delta-rational harmony: Good to demand a little more |
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The tables below show chords that approximate 3-integer-limit [[delta-rational]] chords with least-squares error less than 0.0011. | The tables below show chords that approximate 3-integer-limit [[delta-rational]] chords with least-squares error less than 0.0011. | ||
=== Fully delta-rational triads === | === Fully delta-rational triads === | ||
{| class="wikitable" | {| class="wikitable sortable" | ||
!Steps | |||
!Delta signature | |||
!Least-squares error | |||
|- | |- | ||
| | |0,1,2 | ||
| | | +1 +1 | ||
|0.00020 | |0.00020 | ||
|- | |- | ||
| | |0,1,3 | ||
| | | +1 +2 | ||
|0.00043 | |0.00043 | ||
|- | |- | ||
| | |0,1,4 | ||
| | | +1 +3 | ||
|0.00067 | |0.00067 | ||
|- | |- | ||
| | |0,2,3 | ||
| | | +2 +1 | ||
|0.00038 | |0.00038 | ||
|- | |- | ||
| | |0,2,4 | ||
| | | +1 +1 | ||
|0.00082 | |0.00082 | ||
|- | |- | ||
| | |0,3,4 | ||
| | | +3 +1 | ||
|0.00056 | |0.00056 | ||
|- | |- | ||
| | |0,3,11 | ||
| | | +1 +3 | ||
|0.00006 | |0.00006 | ||
|- | |- | ||
| | |0,4,11 | ||
| | | +1 +2 | ||
|0.00096 | |0.00096 | ||
|- | |- | ||
| | |0,5,8 | ||
| | | +3 +2 | ||
|0.00081 | |0.00081 | ||
|- | |- | ||
| | |0,8,18 | ||
| | | +2 +3 | ||
|0.00076 | |0.00076 | ||
|- | |- | ||
| | |0,9,13 | ||
| | | +2 +1 | ||
|0.00102 | |0.00102 | ||
|- | |- | ||
| | |0,9,20 | ||
| | | +2 +3 | ||
|0.00070 | |0.00070 | ||
|- | |- | ||
| | |0,9,23 | ||
| | | +1 +2 | ||
|0.00100 | |0.00100 | ||
|- | |- | ||
| | |0,11,20 | ||
| | | +1 +1 | ||
|0.00101 | |0.00101 | ||
|- | |- | ||
| | |0,12,17 | ||
| | | +2 +1 | ||
|0.00047 | |0.00047 | ||
|- | |- | ||
| | |0,13,20 | ||
| | | +3 +2 | ||
|0.00062 | |0.00062 | ||
|- | |- | ||
| | |0,15,21 | ||
| | | +2 +1 | ||
|0.00062 | |0.00062 | ||
|- | |- | ||
| | |0,16,28 | ||
| | | +1 +1 | ||
|0.00077 | |0.00077 | ||
|- | |- | ||
| | |0,18,25 | ||
| | | +2 +1 | ||
|0.00079 | |0.00079 | ||
|- | |- | ||
| | |0,18,31 | ||
| | | +1 +1 | ||
|0.00055 | |0.00055 | ||
|- | |- | ||
| | |0,19,24 | ||
| | | +3 +1 | ||
|0.00094 | |0.00094 | ||
|} | |} |