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→Tuning spectra: -alternative extensions (addressed in magic extensions). -gencoms (trivial and irrelevant)
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== Tuning spectra ==
== Tuning spectra ==
=== Magic ===
=== Magic ===
Gencom: [2 5/4; 100/99 105/104 144/143 196/195]
Gencom mapping: [{{map| 1 0 2 -1 6 -2 }}, {{map| 0 5 1 12 -8 18 }}]
{| class="wikitable center-all left-4"
{| class="wikitable center-all left-4"
|-
|-
! ET<br />generator
! Edo<br>generator
! [[eigenmonzo|Eigenmonzo<br />(unchanged-interval)]]
! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]
! Generator<br />(&#162;)
! Generator(¢)
! comments
! Comments
|-
|-
|
|
Line 295: Line 291:
| 386.314
| 386.314
|
|
|}
=== Necromancy ===
Gencom: [2 5/4; 100/99 225/224 245/243 275/273]
Gencom mapping: [{{map| 1 0 2 -1 6 11 }}, {{map| 0 5 1 12 -8 -23 }}]
{| class="wikitable center-all left-4"
|-
! ET<br />generator
! [[eigenmonzo|Eigenmonzo<br />(unchanged-interval)]]
! generator<br />(&#162;)
! comments
|-
|
| 6/5
| 378.910
|
|-
| 6\19
|
| 378.947
|
|-
|
| 10/9
| 379.733
|
|-
|
| 27/20
| 379.968
| 5-odd-limit least squares
|-
| 19\60
|
| 380.000
|
|-
|
| 15/14
| 380.093
|
|-
| 32\101
|
| 380.198
|
|-
|
| 7/5
| 380.228
|
|-
|
| {{monzo| 0 36 -23 32 }}
| 380.384
| 9-odd-limit least squares
|-
|
| 4/3
| 380.391
| 5, 7 and 9-odd-limit minimax
|-
| 13\41
|
| 380.488
|
|-
|
| {{monzo| 0 1 -7 15 }}
| 380.506
| 7-odd-limit least squares
|-
|
| 11/9
| 380.700
| 11-odd-limit minimax
|-
|
| 18/13
| 380.709
| 13 and 15-odd-limit minimax
|-
|
| <span style="font-size:0.9em">{{monzo| 0 85 -14 52 -68 }}</span>
| 380.714
| 11-odd-limit least squares
|-
|
| 13/11
| 380.719
|
|-
|
| 8/7
| 380.735
|
|-
|
| 13/12
| 380.765
|
|-
| 33\104
|
| 380.769
|
|-
|
| <span style="font-size:0.75em">{{monzo| 0 -179 -10 -87 53 158 }}</span>
| 380.785
| 13-odd-limit least squares
|-
|
| 14/13
| 380.809
|
|-
|
| <span style="font-size:0.75em">{{monzo| 0 -222 -53 -93 67 187 }}</span>
| 380.817
| 15-odd-limit least squares
|-
|
| 12/11
| 380.818
|
|-
|
| 16/13
| 380.847
|
|-
|
| 14/11
| 380.875
|
|-
| 20\63
|
| 380.952
|
|-
|
| 15/13
| 380.957
|
|-
|
| 7/6
| 380.982
|
|-
|
| 13/10
| 381.074
|
|-
|
| 11/8
| 381.085
|
|-
|
| 15/11
| 381.211
|
|-
|
| 16/15
| 381.378
|
|-
|
| 11/10
| 381.666
|
|-
| 7\22
|
| 381.818
|
|-
|
| 9/7
| 382.458
|
|-
|
| 5/4
| 386.314
|
|}
=== Sorcery ===
Gencom: [2 5/4; 65/64 78/77 91/90 100/99]
Gencom mapping: [{{map| 1 0 2 -1 6 4 }}, {{map| 0 5 1 12 -8 -1 }}]
{| class="wikitable center-all left-4"
|-
! ET<br />generator
! [[eigenmonzo|Eigenmonzo<br />(unchanged-interval)]]
! generator<br />(&#162;)
! comments
|-
|
| 16/13
| 359.472
|
|-
|
| 13/10
| 372.893
|
|-
|
| 13/12
| 376.905
|
|-
|
| 15/13
| 378.249
|
|-
|
| 18/13
| 378.489
|
|-
|
| 6/5
| 378.910
|
|-
| 6\19
|
| 378.947
|
|-
|
| 14/13
| 379.100
|
|-
|
| 10/9
| 379.733
|
|-
|
| 27/20
| 379.968
| 5-odd-limit least squares
|-
| 19\60
|
| 380.000
|
|-
|
| 15/14
| 380.093
|
|-
| 32\101
|
| 380.198
|
|-
|
| 7/5
| 380.228
|
|-
|
| {{monzo| 0 36 -23 32 }}
| 380.384
| 9-odd-limit least squares
|-
|
| 4/3
| 380.391
| 5, 7 and 9-odd-limit minimax
|-
|
| <span style="font-size:0.75em">{{monzo| 0 -113 12 -65 75 26 }}</span>
| 380.427
| 13-odd-limit least squares
|-
|
| <span style="font-size:0.75em">{{monzo| 0 134 9 71 -89 -33 }}</span>
| 380.457
| 15-odd-limit least squares
|-
| 13\41
|
| 380.488
|
|-
|
| {{monzo| 0 1 -7 15 }}
| 380.506
| 7-odd-limit least squares
|-
|
| 11/9
| 380.700
| 11, 13 and 15-odd-limit minimax
|-
|
| <span style="font-size:0.9em">{{monzo| 0 85 -14 52 -68 }}</span>
| 380.714
| 11-odd-limit least squares
|-
|
| 8/7
| 380.735
|
|-
| 33\104
|
| 380.769
|
|-
|
| 12/11
| 380.818
|
|-
|
| 14/11
| 380.875
|
|-
| 20\63
|
| 380.952
|
|-
|
| 7/6
| 380.982
|
|-
|
| 11/8
| 381.085
|
|-
|
| 15/11
| 381.211
|
|-
|
| 16/15
| 381.378
|
|-
|
| 11/10
| 381.666
|
|-
| 7\22
|
| 381.818
|
|-
|
| 9/7
| 382.458
|
|-
|
| 13/11
| 384.173
|
|-
|
| 5/4
| 386.314
|
|}
=== Telepathy ===
Gencom: [2 5/4; 55/54 65/64 91/90 99/98]
Gencom mapping: [{{map| 1 0 2 -1 -1 4 }}, {{map| 0 5 1 12 14 -1 }}]
{| class="wikitable center-all left-4"
|-
! ET<br />generator
! [[eigenmonzo|Eigenmonzo<br />(unchanged-interval)]]
! generator<br />(&#162;)
! comments
|-
|
| 16/13
| 359.472
|
|-
|
| 13/10
| 372.893
|
|-
|
| 13/12
| 376.905
|
|-
|
| 15/13
| 378.249
|
|-
|
| 18/13
| 378.489
|
|-
|
| 6/5
| 378.910
|
|-
| 6\19
|
| 378.947
|
|-
|
| 14/13
| 379.100
|
|-
|
| 10/9
| 379.733
|
|-
|
| 27/20
| 379.968
| 5-odd-limit least squares
|-
| 19\60
|
| 380.000
|
|-
|
| 15/14
| 380.093
|
|-
| 32\101
|
| 380.198
|
|-
|
| 7/5
| 380.228
|
|-
|
| {{monzo| 0 36 -23 32 }}
| 380.384
| 9-odd-limit least squares
|-
|
| 4/3
| 380.391
| 5, 7 and 9-odd-limit minimax
|-
| 13\41
|
| 380.488
|
|-
|
| {{monzo| 0 1 -7 15 }}
| 380.506
| 7-odd-limit least squares
|-
|
| <span style="font-size:0.75em">{{monzo| 0 47 -34 43 57 -48 }}</span>
| 380.676
| 13-odd-limit least squares
|-
|
| <span style="font-size:0.75em">{{monzo| 0 46 -35 49 65 -55 }}</span>
| 380.691
| 15-odd-limit least squares
|-
|
| 13/11
| 380.719
| 13 and 15-odd-limit minimax
|-
|
| 8/7
| 380.735
|
|-
| 33\104
|
| 380.769
|
|-
| 20\63
|
| 380.952
|
|-
|
| 7/6
| 380.982
|
|-
|
| 16/15
| 381.378
|
|-
|
| <span style="font-size:0.75em">{{monzo| 0 19 -36 30 42 }}</span>
| 381.380
| 11-odd-limit least squares
|-
| 7\22
|
| 381.818
|
|-
|
| 11/10
| 381.923
| 11-odd-limit minimax
|-
|
| 11/8
| 382.237
|
|-
|
| 9/7
| 382.458
|
|-
|
| 15/11
| 382.881
|
|-
|
| 12/11
| 383.263
|
|-
|
| 5/4
| 386.314
|
|-
|
| 11/9
| 386.852
|
|-
|
| 14/11
| 391.246
|
|}
=== Intuition ===
Gencom: [2 5/4; 55/54 66/65 99/98 105/104]
Gencom mapping: [{{map| 1 0 2 -1 -1 -2 }}, {{map| 0 5 1 12 14 18 }}]
{| class="wikitable center-all left-4"
|-
! ET<br />generator
! [[eigenmonzo|Eigenmonzo<br />(unchanged-interval)]]
! generator<br />(&#162;)
! comments
|-
|
| 13/11
| 372.302
|
|-
|
| 14/13
| 378.617
|
|-
|
| 6/5
| 378.910
|
|-
| 6\19
|
| 378.947
|
|-
|
| 15/13
| 379.355
|
|-
|
| 18/13
| 379.577
|
|-
|
| 13/10
| 379.660
|
|-
|
| 10/9
| 379.733
|
|-
|
| 13/12
| 379.890
|
|-
|
| 27/20
| 379.968
| 5-odd-limit least squares
|-
| 19\60
|
| 380.000
|
|-
|
| 16/13
| 380.029
| 13 and 15-odd-limit minimax
|-
|
| 15/14
| 380.093
|
|-
| 32\101
|
| 380.198
|
|-
|
| 7/5
| 380.228
|
|-
|
| {{monzo| 0 36 -23 32 }}
| 380.384
| 9-odd-limit least squares
|-
|
| 4/3
| 380.391
| 5, 7 and 9-odd-limit minimax
|-
| 13\41
|
| 380.488
|
|-
|
| {{monzo| 0 1 -7 15 }}
| 380.506
| 7-odd-limit least squares
|-
|
| <span style="font-size:0.75em">{{monzo| 0 -30 -73 30 46 78 }}</span>
| 380.562
| 15-odd-limit least squares
|-
|
| <span style="font-size:0.75em">{{monzo| 0 -10 -53 24 38 66 }}</span>
| 380.568
| 13-odd-limit least squares
|-
|
| 8/7
| 380.735
|
|-
| 33\104
|
| 380.769
|
|-
| 20\63
|
| 380.952
|
|-
|
| 7/6
| 380.982
|
|-
|
| 16/15
| 381.378
|
|-
|
| <span style="font-size:0.75em">{{monzo| 0 19 -36 30 42 }}</span>
| 381.380
| 11-odd-limit least squares
|-
| 7\22
|
| 381.818
|
|-
|
| 11/10
| 381.923
| 11-odd-limit minimax
|-
|
| 11/8
| 382.237
|
|-
|
| 9/7
| 382.458
|
|-
|
| 15/11
| 382.881
|
|-
|
| 12/11
| 383.263
|
|-
|
| 5/4
| 386.314
|
|-
|
| 11/9
| 386.852
|
|-
|
| 14/11
| 391.246
|
|}
=== Witchcraft ===
Gencom: [2 5/4; 105/104 196/195 245/243 275/273]
Gencom mapping: [{{map| 1 0 2 -1 -7 -2 }}, {{map| 0 5 1 12 33 18 }}]
{| class="wikitable center-all left-4"
|-
! ET<br />generator
! [[eigenmonzo|Eigenmonzo<br />(unchanged-interval)]]
! generator<br />(&#162;)
! comments
|-
|
| 14/13
| 378.617
|
|-
|
| 6/5
| 378.910
|
|-
| 6\19
|
| 378.947
|
|-
|
| 15/13
| 379.355
|
|-
|
| 18/13
| 379.577
|
|-
|
| 13/10
| 379.660
|
|-
|
| 10/9
| 379.733
|
|-
|
| 27/20
| 379.968
| 5-odd-limit least squares
|-
|
| 13/12
| 379.890
|
|-
| 19\60
|
| 380.000
|
|-
|
| 16/13
| 380.029
|
|-
|
| 15/14
| 380.093
|
|-
|
| 15/11
| 380.113
| 15-odd-limit minimax
|-
|
| 14/11
| 380.119
| 13-odd-limit minimax
|-
|
| 11/10
| 380.156
|
|-
|
| <span style="font-size:0.75em">{{monzo| 0 -106 -111 11 179 59 }}</span>
| 380.193
| 15-odd-limit least squares
|-
| 32\101
|
| 380.198
|
|-
|
| <span style="font-size:0.75em">{{monzo| 0 -67 -72 5 152 47 }}</span>
| 380.218
| 13-odd-limit least squares
|-
|
| 7/5
| 380.228
|
|-
|
| <span style="font-size:0.9em">{{monzo| 0 -38 -55 11 137 }}</span>
| 380.278
| 11-odd-limit least squares
|-
|
| 11/9
| 380.322
|
|-
|
| 12/11
| 380.334
|
|-
|
| 11/8
| 380.343
| 11-odd-limit minimax
|-
|
| {{monzo| 0 36 -23 32 }}
| 380.384
| 9-odd-limit least squares
|-
|
| 4/3
| 380.391
| 5, 7 and 9-odd-limit minimax
|-
| 13\41
|
| 380.488
|
|-
|
| 13/11
| 380.719
|
|-
|
| 8/7
| 380.735
|
|-
| 33\104
|
| 380.769
|
|-
| 20\63
|
| 380.952
|
|-
|
| 7/6
| 380.982
|
|-
|
| 16/15
| 381.378
|
|-
| 7\22
|
| 381.818
|
|-
|
| 9/7
| 382.458
|
|-
|
| 5/4
| 386.314
|
|}
|}


Retrieved from "https://en.xen.wiki/w/Magic"