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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
!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
|}
|}