Miscellaneous 7-limit temperaments: Difference between revisions

Line 13:

: ~~mapping~~ generators: ~2, ~3, ~45/28

: Mapping generators: ~2, ~3, ~45/28

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1200.0258{{c}}, ~3/2 = 701.8709{{c}}, ~45/28 = 821.1067{{c}}

: [[~~error~~ map]]: {{val| +0.026 -0.058 -0.042 +0.081 }}

: [[Error map]]: {{val| +0.026 -0.058 -0.042 +0.081 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.8671{{c}}, ~45/28 = 821.0917{{c}}

: ~~error~~ map: {{val| 0.000 -0.088 -0.080 +0.050 }}

: Error map: {{val| 0.000 -0.088 -0.080 +0.050 }}

{{Optimal ET sequence|legend=1| 19, 41, 89, 108, 111, 130, 152, 171, 665, 795, 836, 966, 1137, 1308, 1973, 2144, 3281, 3452 }}

Line 33:

: ~~mapping~~ generators: ~2, ~3, ~112/75

: Mapping generators: ~2, ~3, ~112/75

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1200.0384{{c}}, ~3/2 = 701.8990{{c}}, ~112/75 = 694.7610{{c}}

: [[~~error~~ map]]: {{val| +0.038 -0.018 -0.132 +0.083 }}

: [[Error map]]: {{val| +0.038 -0.018 -0.132 +0.083 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.8998{{c}}, ~112/75 = 694.7370{{c}}

: ~~error~~ map: {{val| 0.000 -0.055 -0.203 +0.033 }}

: Error map: {{val| 0.000 -0.055 -0.203 +0.033 }}

{{Optimal ET sequence|legend=1| 12, 19, 31, 81, 90, 102d, 109, 121, 140, 152, 171, 665, 836, 1007, 2185, 3192c }}

Line 53:

: ~~mapping~~ generators: ~2, ~3, ~14/9

: Mapping generators: ~2, ~3, ~14/9

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1201.9369{{c}}, ~3/2 = 693.3783{{c}}, ~14/9 = 790.3845{{c}}

: [[~~error~~ map]]: {{val| +1.937 -6.640 -3.608 +10.252 }}

: [[Error map]]: {{val| +1.937 -6.640 -3.608 +10.252 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 693.3443{{c}}, ~14/9 = 790.0724{{c}}

: ~~error~~ map: {{val| 0.000 -8.611 -6.169 +7.935 }}

: Error map: {{val| 0.000 -8.611 -6.169 +7.935 }}

Line 73:

: ~~mapping~~ generators: ~2, ~3, ~5

: Mapping generators: ~2, ~3, ~5

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1203.4446{{c}}, ~3/2 = 697.5230{{c}}, ~5/4 = 375.2486{{c}}

: [[~~error~~ map]]: {{val| +3.445 -0.987 -4.176 -3.068 }}

: [[Error map]]: {{val| +3.445 -0.987 -4.176 -3.068 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.1860{{c}}, ~5/4 = 373.6255{{c}}

: ~~error~~ map: {{val| 0.000 -5.579 -12.687 -12.265 }}

: Error map: {{val| 0.000 -5.579 -12.687 -12.265 }}

{{Optimal ET sequence|legend=1| 7, 9, 10, 16, 19, 45, 64cd, 93cdd, 119bccdd, 138bccdd }}

Line 95:

: ~~mapping~~ generators: ~567/400, ~3, ~5

: Mapping generators: ~567/400, ~3, ~5

[[Optimal tuning]]s:

* [[WE]]: ~567/400 = 600.1005{{c}}, ~3/2 = 701.3045{{c}}, ~5/4 = 386.3934{{c}}

: [[~~error~~ map]]: {{val| +0.201 -0.449 +0.482 -0.353 }}

: [[Error map]]: {{val| +0.201 -0.449 +0.482 -0.353 }}

* [[CWE]]: ~567/400 = 600.0000{{c}}, ~3/2 = 701.2691{{c}}, ~5/4 = 386.5935{{c}}

: ~~error~~ map: {{val| 0.000 -0.686 +0.280 -0.715 }}

: Error map: {{val| 0.000 -0.686 +0.280 -0.715 }}

{{Optimal ET sequence|legend=1| 12, 26, 34, 46, 58, 72, 118, 130, 202, 320, 450, 522, 972bd, 1174bd }}

Line 117:

: ~~mapping~~ generators: ~2, ~3, ~14/9

: Mapping generators: ~2, ~3, ~14/9

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1199.8917{{c}}, ~3/2 = 700.7235{{c}}, ~14/9 = 770.8371{{c}}

: [[~~error~~ map]]: {{val| -0.108 -1.340 -0.578 +3.350 }}

: [[Error map]]: {{val| -0.108 -1.340 -0.578 +3.350 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.6977{{c}}, ~14/9 = 770.9417{{c}}

: ~~error~~ map: {{val| 0.000 -1.257 -0.454 +3.511 }}

: Error map: {{val| 0.000 -1.257 -0.454 +3.511 }}

{{Optimal ET sequence|legend=1| 8d, 9, 14c, 17c, 22, 31, 53, 84, 137, 221d }}

Line 141:

: ~~mapping~~ generators: ~1225/864, ~35/24, ~5

: Mapping generators: ~1225/864, ~35/24, ~5

[[Optimal tuning]]s:

* [[WE]]: ~1225/864 = 600.1145{{c}}, ~35/24 = 651.0771{{c}}, ~5/4 = 385.4061{{c}}

: [[~~error~~ map]]: {{val| +0.229 +0.314 -0.450 -0.657 }}

: [[Error map]]: {{val| +0.229 +0.314 -0.450 -0.657 }}

* [[CWE]]: ~1225/864 = 600.1145{{c}}, ~35/24 = 651.0546{{c}}, ~5/4 = 385.4793{{c}}

: ~~error~~ map: {{val| 0.000 +0.154 -0.834 -1.141 }}

: Error map: {{val| 0.000 +0.154 -0.834 -1.141 }}

{{Optimal ET sequence|legend=1| 22, 46, 68, 72, 118, 140, 212, 330, 470, 542d, 872cdd, 1012cdd, 1414ccddd }}

Line 163:

: ~~mapping~~ generators: ~343/243, ~9/7, ~5

: Mapping generators: ~343/243, ~9/7, ~5

[[Optimal tuning]]s:

* [[WE]]: ~343/243 = 599.9938{{c}}, ~9/7 = 433.8840{{c}}, ~5/4 = 386.3383{{c}}

: [[~~error~~ map]]: {{val| -0.012 -0.309 -0.000 +0.582 }}

: [[Error map]]: {{val| -0.012 -0.309 -0.000 +0.582 }}

* [[CWE]]: ~343/243 = 600.0000{{c}}, ~9/7 = 433.8851{{c}}, ~5/4 = 386.3279{{c}}

: ~~error~~ map: {{val| 0.000 -0.300 +0.014 +0.600 }}

: Error map: {{val| 0.000 -0.300 +0.014 +0.600 }}

{{Optimal ET sequence|legend=1| 22, 50, 58, 72, 130, 152, 202, 224, 354 }}

Line 185:

: ~~mapping~~ generators: ~2, ~128/105, ~5

: Mapping generators: ~2, ~128/105, ~5

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1200.8046{{c}}, ~128/105 = 350.3723{{c}}, ~5/4 = 384.1239{{c}}

: [[~~error~~ map]]: {{val| +0.805 -0.406 -0.581 -0.848 }}

: [[Error map]]: {{val| +0.805 -0.406 -0.581 -0.848 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~128/105 = 350.1448{{c}}, ~5/4 = 383.8961{{c}}

: ~~error~~ map: {{val| 0.000 -1.665 -2.418 -3.157 }}

: Error map: {{val| 0.000 -1.665 -2.418 -3.157 }}

{{Optimal ET sequence|legend=1| 17, 21, 24, 31, 41, 72, 281d, 322cd, 353cd, 425bcdd, 497bcdd }}

Line 207:

: ~~mapping~~ generators: ~2, ~10/7, ~5

: Mapping generators: ~2, ~10/7, ~5

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1200.1652{{c}}, ~10/7 = 620.4031{{c}}, ~5/4 = 387.0990{{c}}

: [[~~error~~ map]]: {{val| +0.165 -0.105 +1.116 -1.634 }}

: [[Error map]]: {{val| +0.165 -0.105 +1.116 -1.634 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~10/7 = 620.3427{{c}}, ~5/4 = 387.2591{{c}}

: ~~error~~ map: {{val| 0.000 -0.241 +0.945 -1.910 }}

: Error map: {{val| 0.000 -0.241 +0.945 -1.910 }}

{{Optimal ET sequence|legend=1| 27, 31, 58, 87, 118, 267d, 385d, 412d }} *

Line 233:

: ~~mapping~~ generators: ~2, ~3, ~21/20

: Mapping generators: ~2, ~3, ~21/20

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1200.7175{{c}}, ~3/2 = 700.6331{{c}}, ~21/20 = 78.6164{{c}}

: [[~~error~~ map]]: {{val| +0.718 -0.604 +1.289 -2.523 }}

: [[Error map]]: {{val| +0.718 -0.604 +1.289 -2.523 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.5831{{c}}, ~21/20 = 78.4341{{c}}

: ~~error~~ map: {{val| 0.000 -1.372 +0.533 -4.128 }}

: Error map: {{val| 0.000 -1.372 +0.533 -4.128 }}

{{Optimal ET sequence|legend=1| 14c, 15, 29, 31, 46, 60, 77, 91, 122, 137d, 168d }}

Line 257:

: ~~mapping~~ generators: ~2, ~3, ~5

: Mapping generators: ~2, ~3, ~5

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1199.9205{{c}}, ~3/2 = 702.0435{{c}}, ~5/4 = 386.6674{{c}}

: [[~~error~~ map]]: {{val| -0.079 +0.009 +0.195 -0.029 }}

: [[Error map]]: {{val| -0.079 +0.009 +0.195 -0.029 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.0491{{c}}, ~5/4 = 386.6885{{c}}

: ~~error~~ map: {{val| 0.000 +0.094 +0.375 +0.108 }}

: Error map: {{val| 0.000 +0.094 +0.375 +0.108 }}

{{Optimal ET sequence|legend=1| 31, 87, 118, 152, 239, 270, 571, 723, 841, 993, 1263, 1564c, 1834c, 2104c }}

Line 277:

: ~~mapping~~ generators: ~2, ~21/16, ~5

: Mapping generators: ~2, ~21/16, ~5

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1199.2548{{c}}, ~21/16 = 475.5761{{c}}, ~5/4 = 387.8025{{c}}

: [[~~error~~ map]]: {{val| -0.745 +0.350 -0.002 +1.465 }}

: [[Error map]]: {{val| -0.745 +0.350 -0.002 +1.465 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~21/16 = 475.8328{{c}}, ~5/4 = 387.5778{{c}}

: ~~error~~ map: {{val| 0.000 +1.376 +1.264 +3.676 }}

: Error map: {{val| 0.000 +1.376 +1.264 +3.676 }}

{{Optimal ET sequence|legend=1| 5, 10, 15, 33, 38, 43, 53, 111, 121, 164d, 174d, 179, 232d }}

Line 299:

: ~~mapping~~ generators: ~2, ~896/729, ~5

: Mapping generators: ~2, ~896/729, ~5

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1199.7303{{c}}, ~896/729 = 351.4056{{c}}, ~5/4 = 386.8527{{c}}

: [[~~error~~ map]]: {{val| -0.270 +0.586 -0.000 -0.284 }}

: [[Error map]]: {{val| -0.270 +0.586 -0.000 -0.284 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~896/729 = 351.4569{{c}}, ~5/4 = 386.6884{{c}}

: ~~error~~ map: {{val| 0.000 +0.959 +0.375 +0.114 }}

: Error map: {{val| 0.000 +0.959 +0.375 +0.114 }}

{{Optimal ET sequence|legend=1| 17c, 24, 34d, 41, 58, 99, 239, 338 }}

[[Badness]] (Sintel): 8.77

== Compass ==

: ''For extensions, see [[Moctdelismic clan #Compass]].''

Compass tempers out the [[compass comma]] in the 7-limit, and splits the fourth in five. The obvious 11-limit extension tempers out the moctdelisma, [[1375/1372]].

[[Subgroup]]: 2.3.5.7

[[Comma list]]: 9765625/9680832

: Mapping generators: ~2, ~625/588, ~5

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1200.116{{c}}, ~625/588 = 99.636{{c}}, ~5/4 = 385.041{{c}}

* [[CWE]]: ~2 = 1200.000{{c}}, ~625/588 = 99.608{{c}}, ~5/4 = 385.111{{c}}

[[Badness]] (Sintel): 13.3

== Linus ==

Line 321:

Line 341:

: ~~mapping~~ generators: ~15/14, ~3, ~5

: Mapping generators: ~15/14, ~3, ~5

[[Optimal tuning]]s:

@@ Line 13: / Line 13: @@
 {{Mapping|legend=1| 1 0 -2 -4 | 0 1 1 3 | 0 0 4 3 }}
-: mapping generators: ~2, ~3, ~45/28
+: Mapping generators: ~2, ~3, ~45/28
 [[Optimal tuning]]s:
 * [[WE]]: ~2 = 1200.0258{{c}}, ~3/2 = 701.8709{{c}}, ~45/28 = 821.1067{{c}}
-: [[error map]]: {{val| +0.026 -0.058 -0.042 +0.081 }}
+: [[Error map]]: {{val| +0.026 -0.058 -0.042 +0.081 }}
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.8671{{c}}, ~45/28 = 821.0917{{c}}
-: error map: {{val| 0.000 -0.088 -0.080 +0.050 }}
+: Error map: {{val| 0.000 -0.088 -0.080 +0.050 }}
 {{Optimal ET sequence|legend=1| 19, 41, 89, 108, 111, 130, 152, 171, 665, 795, 836, 966, 1137, 1308, 1973, 2144, 3281, 3452 }}
@@ Line 33: / Line 33: @@
 {{Mapping|legend=1| 1 0 -1 -6 | 0 1 1 3 | 0 0 3 7 }}
-: mapping generators: ~2, ~3, ~112/75
+: Mapping generators: ~2, ~3, ~112/75
 [[Optimal tuning]]s:
 * [[WE]]: ~2 = 1200.0384{{c}}, ~3/2 = 701.8990{{c}}, ~112/75 = 694.7610{{c}}
-: [[error map]]: {{val| +0.038 -0.018 -0.132 +0.083 }}
+: [[Error map]]: {{val| +0.038 -0.018 -0.132 +0.083 }}
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.8998{{c}}, ~112/75 = 694.7370{{c}}
-: error map: {{val| 0.000 -0.055 -0.203 +0.033 }}
+: Error map: {{val| 0.000 -0.055 -0.203 +0.033 }}
 {{Optimal ET sequence|legend=1| 12, 19, 31, 81, 90, 102d, 109, 121, 140, 152, 171, 665, 836, 1007, 2185, 3192c }}
@@ Line 53: / Line 53: @@
 {{Mapping|legend=1| 1 0 1 -1 | 0 1 0 2 | 0 0 2 1 }}
-: mapping generators: ~2, ~3, ~14/9
+: Mapping generators: ~2, ~3, ~14/9
 [[Optimal tuning]]s:
 * [[WE]]: ~2 = 1201.9369{{c}}, ~3/2 = 693.3783{{c}}, ~14/9 = 790.3845{{c}}
-: [[error map]]: {{val| +1.937 -6.640 -3.608 +10.252 }}
+: [[Error map]]: {{val| +1.937 -6.640 -3.608 +10.252 }}
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 693.3443{{c}}, ~14/9 = 790.0724{{c}}
-: error map: {{val| 0.000 -8.611 -6.169 +7.935 }}
+: Error map: {{val| 0.000 -8.611 -6.169 +7.935 }}
 {{Optimal ET sequence|legend=1| 9, 12, 26, 38, 73bc }}
@@ Line 73: / Line 73: @@
 {{Mapping|legend=1| 1 0 0 9 | 0 1 0 -1 | 0 0 1 -2 }}
-: mapping generators: ~2, ~3, ~5
+: Mapping generators: ~2, ~3, ~5
 [[Optimal tuning]]s:
 * [[WE]]: ~2 = 1203.4446{{c}}, ~3/2 = 697.5230{{c}}, ~5/4 = 375.2486{{c}}
-: [[error map]]: {{val| +3.445 -0.987 -4.176 -3.068 }}
+: [[Error map]]: {{val| +3.445 -0.987 -4.176 -3.068 }}
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.1860{{c}}, ~5/4 = 373.6255{{c}}
-: error map: {{val| 0.000 -5.579 -12.687 -12.265 }}
+: Error map: {{val| 0.000 -5.579 -12.687 -12.265 }}
 {{Optimal ET sequence|legend=1| 7, 9, 10, 16, 19, 45, 64cd, 93cdd, 119bccdd, 138bccdd }}
@@ Line 95: / Line 95: @@
 {{Mapping|legend=1| 2 0 0 9 | 0 1 0 -4 | 0 0 1 2 }}
-: mapping generators: ~567/400, ~3, ~5
+: Mapping generators: ~567/400, ~3, ~5
 [[Optimal tuning]]s:
 * [[WE]]: ~567/400 = 600.1005{{c}}, ~3/2 = 701.3045{{c}}, ~5/4 = 386.3934{{c}}
-: [[error map]]: {{val| +0.201 -0.449 +0.482 -0.353 }}
+: [[Error map]]: {{val| +0.201 -0.449 +0.482 -0.353 }}
 * [[CWE]]: ~567/400 = 600.0000{{c}}, ~3/2 = 701.2691{{c}}, ~5/4 = 386.5935{{c}}
-: error map: {{val| 0.000 -0.686 +0.280 -0.715 }}
+: Error map: {{val| 0.000 -0.686 +0.280 -0.715 }}
 {{Optimal ET sequence|legend=1| 12, 26, 34, 46, 58, 72, 118, 130, 202, 320, 450, 522, 972bd, 1174bd }}
@@ Line 117: / Line 117: @@
 {{Mapping|legend=1| 1 0 -5 -1 | 0 1 3 2 | 0 0 4 1 }}
-: mapping generators: ~2, ~3, ~14/9
+: Mapping generators: ~2, ~3, ~14/9
 [[Optimal tuning]]s:
 * [[WE]]: ~2 = 1199.8917{{c}}, ~3/2 = 700.7235{{c}}, ~14/9 = 770.8371{{c}}
-: [[error map]]: {{val| -0.108 -1.340 -0.578 +3.350 }}
+: [[Error map]]: {{val| -0.108 -1.340 -0.578 +3.350 }}
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.6977{{c}}, ~14/9 = 770.9417{{c}}
-: error map: {{val| 0.000 -1.257 -0.454 +3.511 }}
+: Error map: {{val| 0.000 -1.257 -0.454 +3.511 }}
 {{Optimal ET sequence|legend=1| 8d, 9, 14c, 17c, 22, 31, 53, 84, 137, 221d }}
@@ Line 141: / Line 141: @@
 {{Mapping|legend=1| 2 1 0 7 | 0 2 0 3 | 0 0 1 -1 }}
-: mapping generators: ~1225/864, ~35/24, ~5
+: Mapping generators: ~1225/864, ~35/24, ~5
 [[Optimal tuning]]s:
 * [[WE]]: ~1225/864 = 600.1145{{c}}, ~35/24 = 651.0771{{c}}, ~5/4 = 385.4061{{c}}
-: [[error map]]: {{val| +0.229 +0.314 -0.450 -0.657 }}
+: [[Error map]]: {{val| +0.229 +0.314 -0.450 -0.657 }}
 * [[CWE]]: ~1225/864 = 600.1145{{c}}, ~35/24 = 651.0546{{c}}, ~5/4 = 385.4793{{c}}
-: error map: {{val| 0.000 +0.154 -0.834 -1.141 }}
+: Error map: {{val| 0.000 +0.154 -0.834 -1.141 }}
 {{Optimal ET sequence|legend=1| 22, 46, 68, 72, 118, 140, 212, 330, 470, 542d, 872cdd, 1012cdd, 1414ccddd }}
@@ Line 163: / Line 163: @@
 {{Mapping|legend=1| 2 1 0 2 | 0 3 0 5 | 0 0 1 0 }}
-: mapping generators: ~343/243, ~9/7, ~5
+: Mapping generators: ~343/243, ~9/7, ~5
 [[Optimal tuning]]s:
 * [[WE]]: ~343/243 = 599.9938{{c}}, ~9/7 = 433.8840{{c}}, ~5/4 = 386.3383{{c}}
-: [[error map]]: {{val| -0.012 -0.309 -0.000 +0.582 }}
+: [[Error map]]: {{val| -0.012 -0.309 -0.000 +0.582 }}
 * [[CWE]]: ~343/243 = 600.0000{{c}}, ~9/7 = 433.8851{{c}}, ~5/4 = 386.3279{{c}}
-: error map: {{val| 0.000 -0.300 +0.014 +0.600 }}
+: Error map: {{val| 0.000 -0.300 +0.014 +0.600 }}
 {{Optimal ET sequence|legend=1| 22, 50, 58, 72, 130, 152, 202, 224, 354 }}
@@ Line 185: / Line 185: @@
 {{Mapping|legend=1| 1 1 0 6 | 0 2 0 -3 | 0 0 1 -1 }}
-: mapping generators: ~2, ~128/105, ~5
+: Mapping generators: ~2, ~128/105, ~5
 [[Optimal tuning]]s:
 * [[WE]]: ~2 = 1200.8046{{c}}, ~128/105 = 350.3723{{c}}, ~5/4 = 384.1239{{c}}
-: [[error map]]: {{val| +0.805 -0.406 -0.581 -0.848 }}
+: [[Error map]]: {{val| +0.805 -0.406 -0.581 -0.848 }}
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~128/105 = 350.1448{{c}}, ~5/4 = 383.8961{{c}}
-: error map: {{val| 0.000 -1.665 -2.418 -3.157 }}
+: Error map: {{val| 0.000 -1.665 -2.418 -3.157 }}
 {{Optimal ET sequence|legend=1| 17, 21, 24, 31, 41, 72, 281d, 322cd, 353cd, 425bcdd, 497bcdd }}
@@ Line 207: / Line 207: @@
 {{Mapping|legend=1| 1 -1 0 1 | 0 5 0 -1 | 0 0 1 1 }}
-: mapping generators: ~2, ~10/7, ~5
+: Mapping generators: ~2, ~10/7, ~5
 [[Optimal tuning]]s:
 * [[WE]]: ~2 = 1200.1652{{c}}, ~10/7 = 620.4031{{c}}, ~5/4 = 387.0990{{c}}
-: [[error map]]: {{val| +0.165 -0.105 +1.116 -1.634 }}
+: [[Error map]]: {{val| +0.165 -0.105 +1.116 -1.634 }}
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~10/7 = 620.3427{{c}}, ~5/4 = 387.2591{{c}}
-: error map: {{val| 0.000 -0.241 +0.945 -1.910 }}
+: Error map: {{val| 0.000 -0.241 +0.945 -1.910 }}
 {{Optimal ET sequence|legend=1| 27, 31, 58, 87, 118, 267d, 385d, 412d }} *
@@ Line 233: / Line 233: @@
 {{Mapping|legend=1| 1 0 1 3 | 0 1 1 0 | 0 0 -4 -3 }}
-: mapping generators: ~2, ~3, ~21/20
+: Mapping generators: ~2, ~3, ~21/20
 [[Optimal tuning]]s:
 * [[WE]]: ~2 = 1200.7175{{c}}, ~3/2 = 700.6331{{c}}, ~21/20 = 78.6164{{c}}
-: [[error map]]: {{val| +0.718 -0.604 +1.289 -2.523 }}
+: [[Error map]]: {{val| +0.718 -0.604 +1.289 -2.523 }}
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.5831{{c}}, ~21/20 = 78.4341{{c}}
-: error map: {{val| 0.000 -1.372 +0.533 -4.128 }}
+: Error map: {{val| 0.000 -1.372 +0.533 -4.128 }}
 {{Optimal ET sequence|legend=1| 14c, 15, 29, 31, 46, 60, 77, 91, 122, 137d, 168d }}
@@ Line 257: / Line 257: @@
 {{Mapping|legend=1| 1 0 0 -22 | 0 1 0 1 | 0 0 1 10 }}
-: mapping generators: ~2, ~3, ~5
+: Mapping generators: ~2, ~3, ~5
 [[Optimal tuning]]s:
 * [[WE]]: ~2 = 1199.9205{{c}}, ~3/2 = 702.0435{{c}}, ~5/4 = 386.6674{{c}}
-: [[error map]]: {{val| -0.079 +0.009 +0.195 -0.029 }}
+: [[Error map]]: {{val| -0.079 +0.009 +0.195 -0.029 }}
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.0491{{c}}, ~5/4 = 386.6885{{c}}
-: error map: {{val| 0.000 +0.094 +0.375 +0.108 }}
+: Error map: {{val| 0.000 +0.094 +0.375 +0.108 }}
 {{Optimal ET sequence|legend=1| 31, 87, 118, 152, 239, 270, 571, 723, 841, 993, 1263, 1564c, 1834c, 2104c }}
@@ Line 277: / Line 277: @@
 {{Mapping|legend=1| 1 0 0 4 | 0 4 0 -3 | 0 0 1 0 }}
-: mapping generators: ~2, ~21/16, ~5
+: Mapping generators: ~2, ~21/16, ~5
 [[Optimal tuning]]s:
 * [[WE]]: ~2 = 1199.2548{{c}}, ~21/16 = 475.5761{{c}}, ~5/4 = 387.8025{{c}}
-: [[error map]]: {{val| -0.745 +0.350 -0.002 +1.465 }}
+: [[Error map]]: {{val| -0.745 +0.350 -0.002 +1.465 }}
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~21/16 = 475.8328{{c}}, ~5/4 = 387.5778{{c}}
-: error map: {{val| 0.000 +1.376 +1.264 +3.676 }}
+: Error map: {{val| 0.000 +1.376 +1.264 +3.676 }}
 {{Optimal ET sequence|legend=1| 5, 10, 15, 33, 38, 43, 53, 111, 121, 164d, 174d, 179, 232d }}
@@ Line 299: / Line 299: @@
 {{Mapping|legend=1| 1 1 0 -1 | 0 2 0 13 | 0 0 1 0 }}
-: mapping generators: ~2, ~896/729, ~5
+: Mapping generators: ~2, ~896/729, ~5
 [[Optimal tuning]]s:
 * [[WE]]: ~2 = 1199.7303{{c}}, ~896/729 = 351.4056{{c}}, ~5/4 = 386.8527{{c}}
-: [[error map]]: {{val| -0.270 +0.586 -0.000 -0.284 }}
+: [[Error map]]: {{val| -0.270 +0.586 -0.000 -0.284 }}
 * [[CWE]]: ~2 = 1200.0000{{c}}, ~896/729 = 351.4569{{c}}, ~5/4 = 386.6884{{c}}
-: error map: {{val| 0.000 +0.959 +0.375 +0.114 }}
+: Error map: {{val| 0.000 +0.959 +0.375 +0.114 }}
 {{Optimal ET sequence|legend=1| 17c, 24, 34d, 41, 58, 99, 239, 338 }}
 [[Badness]] (Sintel): 8.77
+== Compass ==
+: ''For extensions, see [[Moctdelismic clan #Compass]].''
+Compass tempers out the [[compass comma]] in the 7-limit, and splits the fourth in five. The obvious 11-limit extension tempers out the moctdelisma, [[1375/1372]].
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 9765625/9680832
+{{Mapping|legend=1| 1 2 0 -2 | 0 -5 0 2 | 0 0 1 2 }}
+: Mapping generators: ~2, ~625/588, ~5
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1200.116{{c}}, ~625/588 = 99.636{{c}}, ~5/4 = 385.041{{c}}
+* [[CWE]]: ~2 = 1200.000{{c}}, ~625/588 = 99.608{{c}}, ~5/4 = 385.111{{c}}
+{{Optimal ET sequence|legend=1| 12, 37, 49, 60, 72, 193, 265 }}
+[[Badness]] (Sintel): 13.3
 == Linus ==
@@ Line 321: / Line 341: @@
 {{Mapping|legend=1| 10 0 0 -11 | 0 1 0 1 | 0 0 1 1 }}
-: mapping generators: ~15/14, ~3, ~5
+: Mapping generators: ~15/14, ~3, ~5
 [[Optimal tuning]]s: