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== Delta-rational harmony == | == Delta-rational harmony == | ||
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="mw-collapsible mw-collapsed | {| class="wikitable sortable mw-collapsible mw-collapsed" | ||
!Steps | ! Steps | ||
!Delta signature | ! Delta signature | ||
!Least-squares error | ! Least-squares error | ||
|- | |- | ||
|0,1,2 | | 0,1,2 | ||
| +1 +1 | | +1 +1 | ||
|0.00020 | | 0.00020 | ||
|- | |- | ||
|0,1,3 | | 0,1,3 | ||
| +1 +2 | | +1 +2 | ||
|0.00043 | | 0.00043 | ||
|- | |- | ||
|0,1,4 | | 0,1,4 | ||
| +1 +3 | | +1 +3 | ||
|0.00067 | | 0.00067 | ||
|- | |- | ||
|0,2,3 | | 0,2,3 | ||
| +2 +1 | | +2 +1 | ||
|0.00038 | | 0.00038 | ||
|- | |- | ||
|0,2,4 | | 0,2,4 | ||
| +1 +1 | | +1 +1 | ||
|0.00082 | | 0.00082 | ||
|- | |- | ||
|0,3,4 | | 0,3,4 | ||
| +3 +1 | | +3 +1 | ||
|0.00056 | | 0.00056 | ||
|- | |- | ||
|0,3,11 | | 0,3,11 | ||
| +1 +3 | | +1 +3 | ||
|0.00006 | | 0.00006 | ||
|- | |- | ||
|0,4,11 | | 0,4,11 | ||
| +1 +2 | | +1 +2 | ||
|0.00096 | | 0.00096 | ||
|- | |- | ||
|0,5,8 | | 0,5,8 | ||
| +3 +2 | | +3 +2 | ||
|0.00081 | | 0.00081 | ||
|- | |- | ||
|0,8,18 | | 0,8,18 | ||
| +2 +3 | | +2 +3 | ||
|0.00076 | | 0.00076 | ||
|- | |- | ||
|0,9,13 | | 0,9,13 | ||
| +2 +1 | | +2 +1 | ||
|0.00102 | | 0.00102 | ||
|- | |- | ||
|0,9,20 | | 0,9,20 | ||
| +2 +3 | | +2 +3 | ||
|0.00070 | | 0.00070 | ||
|- | |- | ||
|0,9,23 | | 0,9,23 | ||
| +1 +2 | | +1 +2 | ||
|0.00100 | | 0.00100 | ||
|- | |- | ||
|0,11,20 | | 0,11,20 | ||
| +1 +1 | | +1 +1 | ||
|0.00101 | | 0.00101 | ||
|- | |- | ||
|0,12,17 | | 0,12,17 | ||
| +2 +1 | | +2 +1 | ||
|0.00047 | | 0.00047 | ||
|- | |- | ||
|0,13,20 | | 0,13,20 | ||
| +3 +2 | | +3 +2 | ||
|0.00062 | | 0.00062 | ||
|- | |- | ||
|0,15,21 | | 0,15,21 | ||
| +2 +1 | | +2 +1 | ||
|0.00062 | | 0.00062 | ||
|- | |- | ||
|0,16,28 | | 0,16,28 | ||
| +1 +1 | | +1 +1 | ||
|0.00077 | | 0.00077 | ||
|- | |- | ||
|0,18,25 | | 0,18,25 | ||
| +2 +1 | | +2 +1 | ||
|0.00079 | | 0.00079 | ||
|- | |- | ||
|0,18,31 | | 0,18,31 | ||
| +1 +1 | | +1 +1 | ||
|0.00055 | | 0.00055 | ||
|- | |- | ||
|0,19,24 | | 0,19,24 | ||
| +3 +1 | | +3 +1 | ||
|0.00094 | | 0.00094 | ||
|} | |} | ||