@@ Line 9: / Line 9: @@
 [[Comma list]]: 16875/16807
-{{Mapping|legend=2| 1 -2 -1 | 0 5 4 }}
+{{Mapping|legend=3| 1 -2 -1 | 0 5 4 }}
 : mapping generators: ~3, ~15/7
@@ Line 44: / Line 44: @@
 * [[Sqrtphi]] (+15625/15552) → [[Kleismic family #Sqrtphi|Kleismic family]]
 * ''[[Rainwell]]'' (+2100875/2097152) → [[Semicomma family #Rainwell|Semicomma family]]
+* ''[[Browser]]'' (+78732/78125) → [[Sensipent family #Browser|Sensipent family]]
 * ''[[Quintiquart]]'' (+390625000/387420489) → [[Quartonic family #Quintiquart|Quartonic family]]
 For ''no-2's'' extensions, see [[No-twos subgroup temperaments #Canopus]].
-Considered below are mirkat, eris, subsemifourth, septendesemi, gaster, hemiseptisix, browser, and grazer, in the order of increasing [[badness]].
+Considered below are mirkat, eris, subsemifourth, septendesemi, gaster, hemiseptisix, and grazer, in the order of increasing [[badness]].
 == Mirkat ==
@@ Line 75: / Line 76: @@
 Comma list: 540/539, 1375/1372, 8019/8000
-Mapping: {{mapping| 3 2 1 2 9 | 0 6 13 14 3 }}
+{{Mapping|legend=0| 3 2 1 2 9 | 0 6 13 14 3 }}
 Optimal tunings:
@@ Line 90: / Line 91: @@
 Comma list: 351/350, 540/539, 676/675, 1375/1372
-Mapping: {{mapping| 3 2 1 2 9 1 | 0 6 13 14 3 22 }}
+{{Mapping|legend=0| 3 2 1 2 9 1 | 0 6 13 14 3 22 }}
 Optimal tunings:
@@ Line 105: / Line 106: @@
 Comma list: 351/350, 442/441, 540/539, 561/560, 715/714
-Mapping: {{mapping| 3 2 1 2 9 1 4 | 0 6 13 14 3 22 18 }}
+{{Mapping|legend=0| 3 2 1 2 9 1 4 | 0 6 13 14 3 22 18 }}
 Optimal tunings:
@@ Line 140: / Line 141: @@
 Comma list: 540/539, 1375/1372, 65625/65536
-Mapping: {{mapping| 1 -19 8 -5 -37 | 0 29 -8 11 57 }}
+{{Mapping|legend=0| 1 -19 8 -5 -37 | 0 29 -8 11 57 }}
 Optimal tunings:
@@ Line 155: / Line 156: @@
 Comma list: 540/539, 625/624, 1375/1372, 4096/4095
-Mapping: {{mapping| 1 -19 8 -5 -37 47 | 0 29 -8 11 57 -61 }}
+{{Mapping|legend=0| 1 -19 8 -5 -37 47 | 0 29 -8 11 57 -61 }}
 Optimal tuning:
@@ Line 188: / Line 189: @@
 Comma list: 540/539, 1375/1372, 234375/234256
-Mapping: {{mapping| 1 -8 -4 -8 -10 | 0 47 31 53 66 }}
+{{Mapping|legend=0| 1 -8 -4 -8 -10 | 0 47 31 53 66 }}
 Optimal tunings:
@@ Line 203: / Line 204: @@
 Comma list: 540/539, 847/845, 1375/1372, 1575/1573
-Mapping: {{mapping| 1 -8 -4 -8 -10 -12 | 0 0 47 31 53 66 77 }}
+{{Mapping|legend=0| 1 -8 -4 -8 -10 -12 | 0 0 47 31 53 66 77 }}
 Optimal tunings:
@@ Line 238: / Line 239: @@
 Comma list: 540/539, 1375/1372, 43923/43750
-Mapping: {{mapping| 1 -2 -1 -2 -1 | 0 41 38 55 51 }}
+{{Mapping|legend=0| 1 -2 -1 -2 -1 | 0 41 38 55 51 }}
 Optimal tunings:
@@ Line 253: / Line 254: @@
 Comma list: 351/350, 540/539, 1375/1372, 4225/4224
-Mapping: {{mapping| 1 -2 -1 -2 -1 3 | 0 41 38 55 51 8 }}
+{{Mapping|legend=0| 1 -2 -1 -2 -1 3 | 0 41 38 55 51 8 }}
 Optimal tunings:
@@ Line 268: / Line 269: @@
 Comma list: 351/350, 540/539, 561/560, 715/714, 4225/4224
-Mapping: {{mapping| 1 -2 -1 -2 -1 3 4 | 0 41 38 55 51 8 1 }}
+{{Mapping|legend=0| 1 -2 -1 -2 -1 3 4 | 0 41 38 55 51 8 1 }}
 Optimal tunings:
@@ Line 310: / Line 311: @@
 Comma list: 540/539, 1375/1372, 14348907/14336000
-Mapping: {{mapping| 1 -8 -34 -32 8 | 0 19 72 69 -9 }}
+{{Mapping|legend=0| 1 -8 -34 -32 8 | 0 19 72 69 -9 }}
 Optimal tunings:
@@ Line 325: / Line 326: @@
 Comma list: 540/539, 729/728, 1375/1372, 2200/2197
-Mapping: {{mapping| 1 -8 -34 -32 8 -19 | 0 19 72 69 -9 45 }}
+{{Mapping|legend=0| 1 -8 -34 -32 8 -19 | 0 19 72 69 -9 45 }}
 Optimal tunings:
@@ Line 340: / Line 341: @@
 Comma list: 540/539, 715/714, 729/728, 936/935, 2200/2197
-Mapping: {{mapping| 1 -8 -34 -32 8 -19 -6 | 0 19 72 69 -9 45 20 }}
+{{Mapping|legend=0| 1 -8 -34 -32 8 -19 -6 | 0 19 72 69 -9 45 20 }}
 Optimal tunings:
@@ Line 355: / Line 356: @@
 Comma list: 324/323, 400/399, 495/494, 540/539, 715/714, 1445/1444
-Mapping: {{mapping| 1 -8 -34 -32 8 -19 -6 -24 | 0 19 72 69 -9 45 20 56 }}
+{{Mapping|legend=0| 1 -8 -34 -32 8 -19 -6 -24 | 0 19 72 69 -9 45 20 56 }}
 Optimal tunings:
@@ Line 370: / Line 371: @@
 Comma list: 324/323, 400/399, 460/459, 495/494, 529/528, 540/539, 715/714
-Mapping: {{mapping| 1 -8 -34 -32 8 -19 -6 -24 2 | 0 19 72 69 -9 45 20 56 5 }}
+{{Mapping|legend=0| 1 -8 -34 -32 8 -19 -6 -24 2 | 0 19 72 69 -9 45 20 56 5 }}
 Optimal tunings:
@@ Line 385: / Line 386: @@
 Comma list: 290/289, 324/323, 400/399, 460/459, 495/494, 529/528, 540/539, 715/714
-Mapping: {{mapping| 1 -8 -34 -32 8 -19 -6 -24 2 21 | 0 19 72 69 -9 45 20 56 5 -32 }}
+{{Mapping|legend=0| 1 -8 -34 -32 8 -19 -6 -24 2 21 | 0 19 72 69 -9 45 20 56 5 -32 }}
 Optimal tunings:
@@ Line 400: / Line 401: @@
 Comma list: 290/289, 324/323, 400/399, 435/434, 460/459, 495/494, 528/527, 540/539, 715/714
-Mapping: {{mapping| 1 -8 -34 -32 8 -19 -6 -24 2 21 10 | 0 19 72 69 -9 45 20 56 5 -32 -10 }}
+{{Mapping|legend=0| 1 -8 -34 -32 8 -19 -6 -24 2 21 10 | 0 19 72 69 -9 45 20 56 5 -32 -10 }}
 Optimal tunings:
@@ Line 415: / Line 416: @@
 Comma list: 290/289, 324/323, 400/399, 435/434, 460/459, 495/494, 528/527, 540/539, 667/666, 715/714
-Mapping: {{mapping| 1 -8 -34 -32 8 -19 -6 -24 2 21 10 38 | 0 19 72 69 -9 45 20 56 5 -32 -10 -65 }}
+{{Mapping|legend=0| 1 -8 -34 -32 8 -19 -6 -24 2 21 10 38 | 0 19 72 69 -9 45 20 56 5 -32 -10 -65 }}
 Optimal tunings:
@@ Line 430: / Line 431: @@
 Comma list: 290/289, 324/323, 400/399, 435/434, 460/459, 495/494, 528/527, 533/532, 540/539, 575/574, 667/666
-Mapping: {{mapping| 1 -8 -34 -32 8 -19 -6 -24 2 21 10 38 -35 | 0 19 72 69 -9 45 20 56 5 -32 -10 -65 80 }}
+{{Mapping|legend=0| 1 -8 -34 -32 8 -19 -6 -24 2 21 10 38 -35 | 0 19 72 69 -9 45 20 56 5 -32 -10 -65 80 }}
 Optimal tunings:
@@ Line 465: / Line 466: @@
 Comma list: 540/539, 1375/1372, 2734375/2725888
-Mapping: {{mapping| 1 -19 -7 -17 -28 | 0 53 24 51 81 }}
+{{Mapping|legend=0| 1 -19 -7 -17 -28 | 0 53 24 51 81 }}
 Optimal tunings:
@@ Line 480: / Line 481: @@
 Comma list: 540/539, 625/624, 1375/1372, 2200/2197
-Mapping: {{mapping| 1 -19 -7 -17 -28 -13 | 0 53 24 51 81 43 }}
+{{Mapping|legend=0| 1 -19 -7 -17 -28 -13 | 0 53 24 51 81 43 }}
 Optimal tunings:
@@ Line 495: / Line 496: @@
 Comma list: 375/374, 540/539, 625/624, 715/714, 2200/2197
-Mapping: {{mapping| 1 -19 -7 -17 -28 -13 -13 | 0 53 24 51 81 43 44 }}
+{{Mapping|legend=0| 1 -19 -7 -17 -28 -13 -13 | 0 53 24 51 81 43 44 }}
 Optimal tunings:
@@ Line 504: / Line 505: @@
 Badness (Sintel): 0.948
-== Browser ==
-{{See also| Sensipent family }}
-Named by [[Xenllium]] in 2022, browser may be described as the {{nowrap| 103 & 111 }} temperament.
-This can also be considered a [[non-over-1 temperament]], with considerable scope for harmony in the 2.5/3.7/3.11/3.13/3.17/3 subgroup with mos scales of 8, 15, 23, and 31 notes despite no harmonics from the root. It can be considered a detemperament of 8d-et, with a generator very slightly flat of 7\8.
-[[Subgroup]]: 2.3.5.7
-[[Comma list]]: 16875/16807, 78732/78125
-{{Mapping|legend=1| 1 -29 -37 -47 | 0 35 45 57 }}
-: mapping generators: ~2, ~90/49
-[[Optimal tuning]]s:
-* [[WE]]: ~2 = 1199.9313{{c}}, ~90/49 = 1048.5414{{c}}
-: [[error map]]: {{val| -0.069 -1.013 +0.592 +1.264 }}
-* [[CWE]]: ~2 = 1200.0000{{c}}, ~90/49 = 1048.5998{{c}}
-: error map: {{val| 0.000 -0.962 +0.677 +1.362 }}
-{{Optimal ET sequence|legend=1| 103, 111, 214 }}
-[[Badness]] (Sintel): 4.57
-=== 11-limit ===
-Subgroup: 2.3.5.7.11
-Comma list: 540/539, 1375/1372, 78732/78125
-Mapping: {{mapping| 1 -29 -37 -47 -28 | 0 35 45 57 36 }}
-Optimal tunings:
-* WE: ~2 = 1200.1344{{c}}, ~11/6 = 1048.7124{{c}}
-* CWE: ~2 = 1200.0000{{c}}, ~11/6 = 1048.5981{{c}}
-{{Optimal ET sequence|legend=0| 103, 214 }}
-Badness (Sintel): 1.91
-=== 13-limit ===
-Subgroup: 2.3.5.7.11.13
-Comma list: 351/350, 540/539, 847/845, 1375/1372
-Mapping: {{mapping| 1 -29 -37 -47 -28 -33 | 0 35 45 57 36 42 }}
-Optimal tunings:
-* WE: ~2 = 1200.1344{{c}}, ~11/6 = 1048.7124{{c}}
-* CWE: ~2 = 1200.0000{{c}}, ~11/6 = 1048.5984{{c}}
-{{Optimal ET sequence|legend=0| 103, 111, 214 }}
-Badness (Sintel): 1.19
-=== 17-limit ===
-Subgroup: 2.3.5.7.11.13.17
-Comma list: 351/350, 540/539, 561/560, 715/714, 847/845
-Mapping: {{mapping| 1 -29 -37 -47 -28 -33 -23 | 0 35 45 57 36 42 31 }}
-Optimal tunings:
-* WE: ~2 = 1199.9191{{c}}, ~11/6 = 1048.5324{{c}}
-* CWE: ~2 = 1200.0000{{c}}, ~11/6 = 1048.6014{{c}}
-{{Optimal ET sequence|legend=0| 103, 111, 214 }}
-Badness (Sintel): 1.04
-=== 19-limit ===
-Subgroup: 2.3.5.7.11.13.17.19
-Comma list: 324/323, 351/350, 456/455, 495/494, 540/539, 715/714
-Mapping: {{mapping| 1 -29 -37 -47 -28 -33 -23 -91 | 0 35 45 57 36 42 31 109 }}
-Optimal tunings:
-* WE: ~2 = 1199.9145{{c}}, ~11/6 = 1048.5290{{c}}
-* CWE: ~2 = 1200.0000{{c}}, ~11/6 = 1048.6021{{c}}
-{{Optimal ET sequence|legend=0| 103h, 111, 214 }}
-Badness (Sintel): 1.07
 == Grazer ==
@@ Line 614: / Line 531: @@
 Comma list: 540/539, 1375/1372, 218750/216513
-Mapping: {{mapping| 1 -3 -4 -5 -1 | 0 37 51 63 36 }}
+{{Mapping|legend=0| 1 -3 -4 -5 -1 | 0 37 51 63 36 }}
 Optimal tunings:
@@ Line 629: / Line 546: @@
 Comma list: 325/324, 364/363, 540/539, 2200/2197
-Mapping: {{mapping| 1 -3 -4 -5 -1 -2 | 0 37 51 63 36 46 }}
+{{Mapping|legend=0| 1 -3 -4 -5 -1 -2 | 0 37 51 63 36 46 }}
 Optimal tunings:
@@ Line 644: / Line 561: @@
 Comma list: 325/324, 364/363, 540/539, 595/594, 2000/1989
-Mapping: {{mapping| 1 -3 -4 -5 -1 -2 0 | 0 37 51 63 36 46 33 }}
+{{Mapping|legend=0| 1 -3 -4 -5 -1 -2 0 | 0 37 51 63 36 46 33 }}
 Optimal tunings:
@@ Line 659: / Line 576: @@
 Comma list: 325/324, 364/363, 400/399, 540/539, 595/594, 665/663
-Mapping: {{mapping| 1 -3 -4 -5 -1 -2 0 4 | 0 37 51 63 36 46 33 2 }}
+{{Mapping|legend=0| 1 -3 -4 -5 -1 -2 0 4 | 0 37 51 63 36 46 33 2 }}
 Optimal tunings:
@@ Line 670: / Line 587: @@
 [[Category:Canopic clan| ]] <!-- main article -->
+[[Category:Canopic| ]] <!-- key article -->
 [[Category:Temperament clans]]
 [[Category:Catalogs of rank-2 temperaments]]

Canopic clan: Difference between revisions

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