28ed5: Difference between revisions

Line 155:

== 28ed5 as a generator ==

28ED5 can also be thought of as a [[generator]] of the 2.3.5.17.19 [[Subgroup temperaments|subgroup temperament]] which tempers out 1216/1215, 1445/1444, and 6144/6137, which is a [[cluster temperament]] with 12 clusters of notes in an octave (''quindromeda'' temperament)~~. The small chroma interval between adjacent notes in each cluster is very versatile, representing 1088/1083 ~ 256/255 ~ 289/288 ~ 324/323 ~ 361/360 all tempered together~~. This temperament is supported by ~~[[12edo~~|~~12EDO]]~~, ~~[[205edo|205EDO]]~~, and [[~~217edo~~|~~217EDO~~]] ~~among others~~.

28ED5 can also be thought of as a [[generator]] of the 2.3.5.17.19 [[Subgroup temperaments|subgroup temperament]] which tempers out 1216/1215, 1445/1444, and 6144/6137, which is a [[cluster temperament]] with 12 clusters of notes in an octave (''quindromeda'' temperament). This temperament is supported by {{Val list|12, 169, 181, 193, 205, 217, 229}}, and [[241edo|241]] EDOs.

Equating 225/224 with 256/255 leads ''quintakwai'' (12&193), which tempers out 400/399 in the 2.3.5.7.17.19 subgroup, and 361/360 with 400/399 leads ''quintagar'' (12&217), which tempers out 476/475 in the 2.3.5.7.17.19 subgroup.

Equating 225/224 with 256/255 leads ''[[Hemifamity temperaments #Quintakwai|quintakwai]]'' (12&193), which tempers out 400/399 (also equating 20/19 and 21/20) in the 2.3.5.7.17.19 subgroup, and 361/360 with 400/399 leads ''[[Hemimean clan #Quintagar|quintagar]]'' (12&217), which tempers out 476/475 (also equating 19/17 with 28/25) in the 2.3.5.7.17.19 subgroup.

~~'''~~Quindromeda (12&193)~~''' ~~

'''~~~~5-limit~~~~'''

; Quindromeda (12&193)

'''5-limit'''

Comma: {{monzo|56 -28 -5}}

Mapping: [{{val|1 2 0}}, {{val|0 -5 28}}]

Line 166:

Line 167:

Vals: 12, 169, 181, 193, 205, 217, 422

Badness: 0.399849

'''~~~~2.3.5.17.19 subgroup~~~~'''

'''2.3.5.17.19 subgroup'''

Comma list: 1216/1215, 1445/1444, 6144/6137

Gencom: [2 18/17; 1216/1215 1445/1444 6144/6137]

Line 173:

Line 174:

Vals: 12, 169, 181, 193, 205, 422

RMS error: 0.0813 cents

~~'''~~[[Hemifamity temperaments #Quintakwai|Quintakwai]] (12&193)~~''' ~~

; [[Hemifamity temperaments #Quintakwai|Quintakwai]] (12&193)

'''~~~~7-limit~~~~'''

'''7-limit'''

Comma list: 5120/5103, 9765625/9680832

Mapping: [{{val|1 2 0 -2}}, {{val|0 -5 28 58}}]

Line 180:

Line 181:

Vals: 12, 169, 181, 193

Badness: 0.155536

'''~~~~11-limit~~~~'''

'''11-limit'''

Comma list: 1375/1372, 4375/4356, 5120/5103

Mapping: [{{val|1 2 0 -2 -4}}, {{val|0 -5 28 58 90}}]

Line 186:

Line 187:

Vals: 12, 181, 193, 374, 567ce

Badness: 0.073158

'''~~~~13-limit~~~~'''

'''13-limit'''

Comma list: 325/324, 1375/1372, 1575/1573, 4096/4095

Mapping: [{{val|1 2 0 -2 -4 10}}, {{val|0 -5 28 58 90 -76}}]

Line 192:

Line 193:

Vals: 12, 181, 193, 374, 567ce, 941bce

Badness: 0.062737

'''~~~~17-limit~~~~'''

'''17-limit'''

Comma list: 325/324, 375/374, 595/594, 1275/1274, 4096/4095

Mapping: [{{val|1 2 0 -2 -4 10 5}}, {{val|0 -5 28 58 90 -76 -11}}]

Line 198:

Line 199:

Vals: 12, 181, 193, 374, 567ce, 941bceg

Badness: 0.037855

'''~~~~19-limit~~~~'''

'''19-limit'''

Comma list: 325/324, 375/374, 400/399, 595/594, 1216/1215, 1275/1274

Mapping: [{{val|1 2 0 -2 -4 10 5 4}}, {{val|0 -5 28 58 90 -76 -11 3}}]

Line 204:

Line 205:

Vals: 12, 181, 193, 374, 567ce, 941bcegh, 1508bccdeegghh

Badness: 0.025861

~~'''~~[[Hemimean clan #Quintagar|Quintagar]] (12&217)~~''' ~~

; [[Hemimean clan #Quintagar|Quintagar]] (12&217)

'''~~~~7-limit~~~~'''

'''7-limit'''

Comma list: 3136/3125, 33554432/33480783

Mapping: [{{val|1 2 0 -3}}, {{val|0 -5 28 70}}]

Line 211:

Line 212:

Vals: 12, 217, 229, 446, 675c

Badness: 0.142897

~~'''~~[[Hemimean clan #Quintagar|Quintoneum]] (12&217)~~''' ~~

; [[Hemimean clan #Quintagar|Quintoneum]] (12&217)

'''~~~~11-limit~~~~'''

'''11-limit'''

Comma list: 441/440, 3136/3125, 7168000/7144929

Mapping: [{{val|1 2 0 -3 -5}}, {{val|0 -5 28 70 102}}]

Line 218:

Line 219:

Vals: 12, 205d, 217

Badness: 0.087157

'''~~~~13-limit~~~~'''

'''13-limit'''

Comma list: 364/363, 441/440, 3136/3125, 13720/13689

Mapping: [{{val|1 2 0 -3 -5 -7}}, {{val|0 -5 28 70 102 129}}]

Line 224:

Line 225:

Vals: 12f, 205df, 217

Badness: 0.052361

'''~~~~17-limit~~~~'''

'''17-limit'''

Comma list: 364/363, 441/440, 595/594, 3136/3125, 3757/3750

Mapping: [{{val|1 2 0 -3 -5 -7 5}}, {{val|0 -5 28 70 102 129 -11}}]

Line 230:

Line 231:

Vals: 12f, 205df, 217

Badness: 0.035653

'''~~~~19-limit~~~~'''

'''19-limit'''

Comma list: 364/363, 441/440, 476/475, 595/594, 1216/1215, 3757/3750

Mapping: [{{val|1 2 0 -3 -5 -7 5 4}}, {{val|0 -5 28 70 102 129 -11 3}}]

Line 236:

Line 237:

Vals: 12f, 205df, 217

Badness: 0.025782

~~'''~~[[Hemimean clan #Quintagar|Quintoneoid]] (12&217)~~''' ~~

; [[Hemimean clan #Quintagar|Quintoneoid]] (12&217)

'''~~~~13-limit~~~~'''

'''13-limit'''

Comma list: 441/440, 1001/1000, 3136/3125, 59150/59049

Mapping: [{{val|1 2 0 -3 -5 11}}, {{val|0 -5 28 70 102 -88}}]

Line 243:

Line 244:

Vals: 12, 205d, 217

Badness: 0.072826

'''~~~~17-limit~~~~'''

'''17-limit'''

Comma list: 441/440, 595/594, 1001/1000, 2601/2600, 3136/3125

Mapping: [{{val|1 2 0 -3 -5 11 5}}, {{val|0 -5 28 70 102 -88 -11}}]

Line 249:

Line 250:

Vals: 12, 205d, 217

Badness: 0.042339

'''~~~~19-limit~~~~'''

'''19-limit'''

Comma list: 441/440, 476/475, 595/594, 1001/1000, 1216/1215, 2601/2600

Mapping: [{{val|1 2 0 -3 -5 11 5 4}}, {{val|0 -5 28 70 102 -88 -11 3}}]

Line 255:

Line 256:

Vals: 12, 205d, 217

Badness: 0.028983

~~'''~~[[Hemimean clan #Quintagar|Quintasandra]] (217&229)~~''' ~~

; [[Hemimean clan #Quintagar|Quintasandra]] (217&229)

'''~~~~11-limit~~~~'''

'''11-limit'''

Comma list: 3136/3125, 19712/19683, 41503/41472

Mapping: [{{val|1 2 0 -3 13}}, {{val|0 -5 28 70 -115}}]

Line 262:

Line 263:

Vals: 12e, 217, 446

Badness: 0.109908

'''~~~~13-limit~~~~'''

'''13-limit'''

Comma list: 2080/2079, 3136/3125, 4096/4095, 19712/19683

Mapping: [{{val|1 2 0 -3 13 11}}, {{val|0 -5 28 70 -115 -88}}]

Line 268:

Line 269:

Vals: 12e, 217, 446, 663c

Badness: 0.067730

'''~~~~17-limit~~~~'''

'''17-limit'''

Comma list: 936/935, 1156/1155, 1377/1375, 3136/3125, 4096/4095

Mapping: [{{val|1 2 0 -3 13 11 5}}, {{val|0 -5 28 70 -115 -88 -11}}]

Line 274:

Line 275:

Vals: 12e, 217, 446, 663c

Badness: 0.038153

'''~~~~19-limit~~~~'''

'''19-limit'''

Comma list: 476/475, 936/935, 1156/1155, 1216/1215, 1377/1375, 1729/1728

Mapping: [{{val|1 2 0 -3 13 11 5 4}}, {{val|0 -5 28 70 -115 -88 -11 3}}]

Line 280:

Line 281:

Vals: 12e, 217, 446, 663ch

Badness: 0.026654

~~'''~~[[Hemimean clan #Quintagar|Quintasandroid]] (229&241)~~''' ~~

; [[Hemimean clan #Quintagar|Quintasandroid]] (229&241)

'''~~~~11-limit~~~~'''

'''11-limit'''

Comma list: 3136/3125, 8019/8000, 15488/15435

Mapping: [{{val|1 2 0 -3 -6}}, {{val|0 -5 28 70 114}}]

Line 287:

Line 288:

Vals: 12, 217e, 229, 470cd, 699cd

Badness: 0.093971

'''~~~~13-limit~~~~'''

'''13-limit'''

Comma list: 351/350, 2080/2079, 3136/3125, 10648/10647

Mapping: [{{val|1 2 0 -3 -6 -8}}, {{val|0 -5 28 70 114 141}}]

Line 293:

Line 294:

Vals: 12f, 217ef, 229, 241, 470cd, 711ccd

Badness: 0.065701

'''~~~~17-limit~~~~'''

'''17-limit'''

Comma list: 351/350, 442/441, 561/560, 3136/3125, 7744/7735

Mapping: [{{val|1 2 0 -3 -6 -8 5}}, {{val|0 -5 28 70 114 141 -11}}]

Line 299:

Line 300:

Vals: 12f, 217ef, 229, 241, 470cd

Badness: 0.046624

'''~~~~19-limit~~~~'''

'''19-limit'''

Comma list: 351/350, 442/441, 476/475, 561/560, 627/625, 6144/6137

Mapping: [{{val|1 2 0 -3 -6 -8 5 4}}, {{val|0 -5 28 70 114 141 -11 3}}]

Line 305:

Line 306:

Vals: 12f, 217ef, 229, 241, 470cd

Badness: 0.033145

~~'''~~[[Hemimean clan #Quintagar|Quintasand]] (12&229)~~''' ~~

; [[Hemimean clan #Quintagar|Quintasand]] (12&229)

'''~~~~13-limit~~~~'''

'''13-limit'''

Comma list: 1573/1568, 3136/3125, 4096/4095, 4459/4455

Mapping: [{{val|1 2 0 -3 -6 11}}, {{val|0 -5 28 70 114 -88}}]

Line 312:

Line 313:

Vals: 12, 217e, 229, 446e, 675ceef

Badness: 0.100195

'''~~~~17-limit~~~~'''

'''17-limit'''

Comma list: 561/560, 715/714, 1701/1700, 3136/3125, 4096/4095

Mapping: [{{val|1 2 0 -3 -6 11 5}}, {{val|0 -5 28 70 114 -88 -11}}]

Line 318:

Line 319:

Vals: 12, 217e, 229, 446e, 675ceef

Badness: 0.057851

'''~~~~19-limit~~~~'''

'''19-limit'''

Comma list: 286/285, 476/475, 561/560, 627/625, 1216/1215, 1729/1728

Mapping: [{{val|1 2 0 -3 -6 11 5 4}}, {{val|0 -5 28 70 114 -88 -11 3}}]

Line 324:

Line 325:

Vals: 12, 217e, 229, 446e, 675ceefh

Badness: 0.040410

~~'''~~Semiquindromeda (12&422)~~''' ~~

; Semiquindromeda (12&422)

'''~~~~7-limit~~~~'''

'''7-limit'''

Comma list: 102760448/102515625, 1220703125/1219784832

Mapping: [{{val|2 4 0 -5}}, {{val|0 -5 28 64}}]

Line 331:

Line 332:

Vals: 12, 398, 410, 422, 832, 1254d, 2086bd

Badness: 0.233140

'''~~~~11-limit~~~~'''

'''11-limit'''

Comma list: 5632/5625, 9801/9800, 85937500/85766121

Mapping: [{{val|2 4 0 -5 -10}}, {{val|0 -5 28 64 102}}]

Line 337:

Line 338:

Vals: 12, 410, 422

Badness: 0.093926

'''~~~~13-limit~~~~'''

'''13-limit'''

Comma list: 1716/1715, 2080/2079, 5632/5625, 831875/830466

Mapping: [{{val|2 4 0 -5 -10 -13}}, {{val|0 -5 28 64 102 123}}]

Line 343:

Line 344:

Vals: 12f, 410, 422, 1254df, 1676bdff, 2098bcddff

Badness: 0.053361

'''~~~~17-limit~~~~'''

'''17-limit'''

Comma list: 1716/1715, 2080/2079, 2500/2499, 5632/5625, 15895/15876

Mapping: [{{val|2 4 0 -5 -10 -13 10}}, {{val|0 -5 28 64 102 123 -11}}]

Line 349:

Line 350:

Vals: 12f, 410, 422, 832, 1254df, 1676bdff

Badness: 0.034659

'''~~~~19-limit~~~~'''

'''19-limit'''

Comma list: 1216/1215, 1445/1444, 1716/1715, 2080/2079, 2376/2375, 2500/2499

Mapping: [{{val|2 4 0 -5 -10 -13 10 8}}, {{val|0 -5 28 64 102 123 -11 3}}]

@@ Line 155: / Line 155: @@
 == 28ed5 as a generator ==
-ED5 can also be thought of as a [[generator]] of the 2.3.5.17.19 [[Subgroup temperaments|subgroup temperament]] which tempers out 1216/1215, 1445/1444, and 6144/6137, which is a [[cluster temperament]] with 12 clusters of notes in an octave (''quindromeda'' temperament). The small chroma interval between adjacent notes in each cluster is very versatile, representing 1088/1083 ~ 256/255 ~ 289/288 ~ 324/323 ~ 361/360 all tempered together. This temperament is supported by [[12edo|12EDO]], [[205edo|205EDO]], and [[217edo|217EDO]] among others.
+ED5 can also be thought of as a [[generator]] of the 2.3.5.17.19 [[Subgroup temperaments|subgroup temperament]] which tempers out 1216/1215, 1445/1444, and 6144/6137, which is a [[cluster temperament]] with 12 clusters of notes in an octave (''quindromeda'' temperament). This temperament is supported by {{Val list|12, 169, 181, 193, 205, 217, 229}}, and [[241edo|241]] EDOs.
-Equating 225/224 with 256/255 leads ''quintakwai'' (12&amp;193), which tempers out 400/399 in the 2.3.5.7.17.19 subgroup, and 361/360 with 400/399 leads ''quintagar'' (12&amp;217), which tempers out 476/475 in the 2.3.5.7.17.19 subgroup.
+Equating 225/224 with 256/255 leads ''[[Hemifamity temperaments #Quintakwai|quintakwai]]'' (12&amp;193), which tempers out 400/399 (also equating 20/19 and 21/20) in the 2.3.5.7.17.19 subgroup, and 361/360 with 400/399 leads ''[[Hemimean clan #Quintagar|quintagar]]'' (12&amp;217), which tempers out 476/475 (also equating 19/17 with 28/25) in the 2.3.5.7.17.19 subgroup.
-'''<font style="font-size: 1.35em">Quindromeda (12&amp;193)</font>'''<br>
-'''<font style="font-size: 1.2em">5-limit</font>'''<br>
+; Quindromeda (12&amp;193)
+'''5-limit'''<br>
 Comma: {{monzo|56 -28 -5}}<br>
 Mapping: [{{val|1 2 0}}, {{val|0 -5 28}}]<br>
@@ Line 166: / Line 167: @@
 Vals: 12, 169, 181, 193, 205, 217, 422<br>
 Badness: 0.399849<br><br>
-'''<font style="font-size: 1.2em">2.3.5.17.19 subgroup</font>'''<br>
+'''2.3.5.17.19 subgroup'''<br>
 Comma list: 1216/1215, 1445/1444, 6144/6137<br>
 Gencom: [2 18/17; 1216/1215 1445/1444 6144/6137]<br>
@@ Line 173: / Line 174: @@
 Vals: 12, 169, 181, 193, 205, 422<br>
 RMS error: 0.0813 cents<br><br>
-'''<font style="font-size: 1.35em">[[Hemifamity temperaments #Quintakwai|Quintakwai]] (12&amp;193)</font>'''<br>
+; [[Hemifamity temperaments #Quintakwai|Quintakwai]] (12&amp;193)
-'''<font style="font-size: 1.2em">7-limit</font>'''<br>
+'''7-limit'''<br>
 Comma list: 5120/5103, 9765625/9680832<br>
 Mapping: [{{val|1 2 0 -2}}, {{val|0 -5 28 58}}]<br>
@@ Line 180: / Line 181: @@
 Vals: 12, 169, 181, 193<br>
 Badness: 0.155536<br><br>
-'''<font style="font-size: 1.2em">11-limit</font>'''<br>
+'''11-limit'''<br>
 Comma list: 1375/1372, 4375/4356, 5120/5103<br>
 Mapping: [{{val|1 2 0 -2 -4}}, {{val|0 -5 28 58 90}}]<br>
@@ Line 186: / Line 187: @@
 Vals: 12, 181, 193, 374, 567ce<br>
 Badness: 0.073158<br><br>
-'''<font style="font-size: 1.2em">13-limit</font>'''<br>
+'''13-limit'''<br>
 Comma list: 325/324, 1375/1372, 1575/1573, 4096/4095<br>
 Mapping: [{{val|1 2 0 -2 -4 10}}, {{val|0 -5 28 58 90 -76}}]<br>
@@ Line 192: / Line 193: @@
 Vals: 12, 181, 193, 374, 567ce, 941bce<br>
 Badness: 0.062737<br><br>
-'''<font style="font-size: 1.2em">17-limit</font>'''<br>
+'''17-limit'''<br>
 Comma list: 325/324, 375/374, 595/594, 1275/1274, 4096/4095<br>
 Mapping: [{{val|1 2 0 -2 -4 10 5}}, {{val|0 -5 28 58 90 -76 -11}}]<br>
@@ Line 198: / Line 199: @@
 Vals: 12, 181, 193, 374, 567ce, 941bceg<br>
 Badness: 0.037855<br><br>
-'''<font style="font-size: 1.2em">19-limit</font>'''<br>
+'''19-limit'''<br>
 Comma list: 325/324, 375/374, 400/399, 595/594, 1216/1215, 1275/1274<br>
 Mapping: [{{val|1 2 0 -2 -4 10 5 4}}, {{val|0 -5 28 58 90 -76 -11 3}}]<br>
@@ Line 204: / Line 205: @@
 Vals: 12, 181, 193, 374, 567ce, 941bcegh, 1508bccdeegghh<br>
 Badness: 0.025861<br><br>
-'''<font style="font-size: 1.35em">[[Hemimean clan #Quintagar|Quintagar]] (12&amp;217)</font>'''<br>
+; [[Hemimean clan #Quintagar|Quintagar]] (12&amp;217)
-'''<font style="font-size: 1.2em">7-limit</font>'''<br>
+'''7-limit'''<br>
 Comma list: 3136/3125, 33554432/33480783<br>
 Mapping: [{{val|1 2 0 -3}}, {{val|0 -5 28 70}}]<br>
@@ Line 211: / Line 212: @@
 Vals: 12, 217, 229, 446, 675c<br>
 Badness: 0.142897<br><br>
-'''<font style="font-size: 1.35em">[[Hemimean clan #Quintagar|Quintoneum]] (12&amp;217)</font>'''<br>
+; [[Hemimean clan #Quintagar|Quintoneum]] (12&amp;217)
-'''<font style="font-size: 1.2em">11-limit</font>'''<br>
+'''11-limit'''<br>
 Comma list: 441/440, 3136/3125, 7168000/7144929<br>
 Mapping: [{{val|1 2 0 -3 -5}}, {{val|0 -5 28 70 102}}]<br>
@@ Line 218: / Line 219: @@
 Vals: 12, 205d, 217<br>
 Badness: 0.087157<br><br>
-'''<font style="font-size: 1.2em">13-limit</font>'''<br>
+'''13-limit'''<br>
 Comma list: 364/363, 441/440, 3136/3125, 13720/13689<br>
 Mapping: [{{val|1 2 0 -3 -5 -7}}, {{val|0 -5 28 70 102 129}}]<br>
@@ Line 224: / Line 225: @@
 Vals: 12f, 205df, 217<br>
 Badness: 0.052361<br><br>
-'''<font style="font-size: 1.2em">17-limit</font>'''<br>
+'''17-limit'''<br>
 Comma list: 364/363, 441/440, 595/594, 3136/3125, 3757/3750<br>
 Mapping: [{{val|1 2 0 -3 -5 -7 5}}, {{val|0 -5 28 70 102 129 -11}}]<br>
@@ Line 230: / Line 231: @@
 Vals: 12f, 205df, 217<br>
 Badness: 0.035653<br><br>
-'''<font style="font-size: 1.2em">19-limit</font>'''<br>
+'''19-limit'''<br>
 Comma list: 364/363, 441/440, 476/475, 595/594, 1216/1215, 3757/3750<br>
 Mapping: [{{val|1 2 0 -3 -5 -7 5 4}}, {{val|0 -5 28 70 102 129 -11 3}}]<br>
@@ Line 236: / Line 237: @@
 Vals: 12f, 205df, 217<br>
 Badness: 0.025782<br><br>
-'''<font style="font-size: 1.35em">[[Hemimean clan #Quintagar|Quintoneoid]] (12&amp;217)</font>'''<br>
+; [[Hemimean clan #Quintagar|Quintoneoid]] (12&amp;217)
-'''<font style="font-size: 1.2em">13-limit</font>'''<br>
+'''13-limit'''<br>
 Comma list: 441/440, 1001/1000, 3136/3125, 59150/59049<br>
 Mapping: [{{val|1 2 0 -3 -5 11}}, {{val|0 -5 28 70 102 -88}}]<br>
@@ Line 243: / Line 244: @@
 Vals: 12, 205d, 217<br>
 Badness: 0.072826<br><br>
-'''<font style="font-size: 1.2em">17-limit</font>'''<br>
+'''17-limit'''<br>
 Comma list: 441/440, 595/594, 1001/1000, 2601/2600, 3136/3125<br>
 Mapping: [{{val|1 2 0 -3 -5 11 5}}, {{val|0 -5 28 70 102 -88 -11}}]<br>
@@ Line 249: / Line 250: @@
 Vals: 12, 205d, 217<br>
 Badness: 0.042339<br><br>
-'''<font style="font-size: 1.2em">19-limit</font>'''<br>
+'''19-limit'''<br>
 Comma list: 441/440, 476/475, 595/594, 1001/1000, 1216/1215, 2601/2600<br>
 Mapping: [{{val|1 2 0 -3 -5 11 5 4}}, {{val|0 -5 28 70 102 -88 -11 3}}]<br>
@@ Line 255: / Line 256: @@
 Vals: 12, 205d, 217<br>
 Badness: 0.028983<br><br>
-'''<font style="font-size: 1.35em">[[Hemimean clan #Quintagar|Quintasandra]] (217&amp;229)</font>'''<br>
+; [[Hemimean clan #Quintagar|Quintasandra]] (217&amp;229)
-'''<font style="font-size: 1.2em">11-limit</font>'''<br>
+'''11-limit'''<br>
 Comma list: 3136/3125, 19712/19683, 41503/41472<br>
 Mapping: [{{val|1 2 0 -3 13}}, {{val|0 -5 28 70 -115}}]<br>
@@ Line 262: / Line 263: @@
 Vals: 12e, 217, 446<br>
 Badness: 0.109908<br><br>
-'''<font style="font-size: 1.2em">13-limit</font>'''<br>
+'''13-limit'''<br>
 Comma list: 2080/2079, 3136/3125, 4096/4095, 19712/19683<br>
 Mapping: [{{val|1 2 0 -3 13 11}}, {{val|0 -5 28 70 -115 -88}}]<br>
@@ Line 268: / Line 269: @@
 Vals: 12e, 217, 446, 663c<br>
 Badness: 0.067730<br><br>
-'''<font style="font-size: 1.2em">17-limit</font>'''<br>
+'''17-limit'''<br>
 Comma list: 936/935, 1156/1155, 1377/1375, 3136/3125, 4096/4095<br>
 Mapping: [{{val|1 2 0 -3 13 11 5}}, {{val|0 -5 28 70 -115 -88 -11}}]<br>
@@ Line 274: / Line 275: @@
 Vals: 12e, 217, 446, 663c<br>
 Badness: 0.038153<br><br>
-'''<font style="font-size: 1.2em">19-limit</font>'''<br>
+'''19-limit'''<br>
 Comma list: 476/475, 936/935, 1156/1155, 1216/1215, 1377/1375, 1729/1728<br>
 Mapping: [{{val|1 2 0 -3 13 11 5 4}}, {{val|0 -5 28 70 -115 -88 -11 3}}]<br>
@@ Line 280: / Line 281: @@
 Vals: 12e, 217, 446, 663ch<br>
 Badness: 0.026654<br><br>
-'''<font style="font-size: 1.35em">[[Hemimean clan #Quintagar|Quintasandroid]] (229&amp;241)</font>'''<br>
+; [[Hemimean clan #Quintagar|Quintasandroid]] (229&amp;241)
-'''<font style="font-size: 1.2em">11-limit</font>'''<br>
+'''11-limit'''<br>
 Comma list: 3136/3125, 8019/8000, 15488/15435<br>
 Mapping: [{{val|1 2 0 -3 -6}}, {{val|0 -5 28 70 114}}]<br>
@@ Line 287: / Line 288: @@
 Vals: 12, 217e, 229, 470cd, 699cd<br>
 Badness: 0.093971<br><br>
-'''<font style="font-size: 1.2em">13-limit</font>'''<br>
+'''13-limit'''<br>
 Comma list: 351/350, 2080/2079, 3136/3125, 10648/10647<br>
 Mapping: [{{val|1 2 0 -3 -6 -8}}, {{val|0 -5 28 70 114 141}}]<br>
@@ Line 293: / Line 294: @@
 Vals: 12f, 217ef, 229, 241, 470cd, 711ccd<br>
 Badness: 0.065701<br><br>
-'''<font style="font-size: 1.2em">17-limit</font>'''<br>
+'''17-limit'''<br>
 Comma list: 351/350, 442/441, 561/560, 3136/3125, 7744/7735<br>
 Mapping: [{{val|1 2 0 -3 -6 -8 5}}, {{val|0 -5 28 70 114 141 -11}}]<br>
@@ Line 299: / Line 300: @@
 Vals: 12f, 217ef, 229, 241, 470cd<br>
 Badness: 0.046624<br><br>
-'''<font style="font-size: 1.2em">19-limit</font>'''<br>
+'''19-limit'''<br>
 Comma list: 351/350, 442/441, 476/475, 561/560, 627/625, 6144/6137<br>
 Mapping: [{{val|1 2 0 -3 -6 -8 5 4}}, {{val|0 -5 28 70 114 141 -11 3}}]<br>
@@ Line 305: / Line 306: @@
 Vals: 12f, 217ef, 229, 241, 470cd<br>
 Badness: 0.033145<br><br>
-'''<font style="font-size: 1.35em">[[Hemimean clan #Quintagar|Quintasand]] (12&amp;229)</font>'''<br>
+; [[Hemimean clan #Quintagar|Quintasand]] (12&amp;229)
-'''<font style="font-size: 1.2em">13-limit</font>'''<br>
+'''13-limit'''<br>
 Comma list: 1573/1568, 3136/3125, 4096/4095, 4459/4455<br>
 Mapping: [{{val|1 2 0 -3 -6 11}}, {{val|0 -5 28 70 114 -88}}]<br>
@@ Line 312: / Line 313: @@
 Vals: 12, 217e, 229, 446e, 675ceef<br>
 Badness: 0.100195<br><br>
-'''<font style="font-size: 1.2em">17-limit</font>'''<br>
+'''17-limit'''<br>
 Comma list: 561/560, 715/714, 1701/1700, 3136/3125, 4096/4095<br>
 Mapping: [{{val|1 2 0 -3 -6 11 5}}, {{val|0 -5 28 70 114 -88 -11}}]<br>
@@ Line 318: / Line 319: @@
 Vals: 12, 217e, 229, 446e, 675ceef<br>
 Badness: 0.057851<br><br>
-'''<font style="font-size: 1.2em">19-limit</font>'''<br>
+'''19-limit'''<br>
 Comma list: 286/285, 476/475, 561/560, 627/625, 1216/1215, 1729/1728<br>
 Mapping: [{{val|1 2 0 -3 -6 11 5 4}}, {{val|0 -5 28 70 114 -88 -11 3}}]<br>
@@ Line 324: / Line 325: @@
 Vals: 12, 217e, 229, 446e, 675ceefh<br>
 Badness: 0.040410<br><br>
-'''<font style="font-size: 1.35em">Semiquindromeda (12&amp;422)</font>'''<br>
+; Semiquindromeda (12&amp;422)
-'''<font style="font-size: 1.2em">7-limit</font>'''<br>
+'''7-limit'''<br>
 Comma list: 102760448/102515625, 1220703125/1219784832<br>
 Mapping: [{{val|2 4 0 -5}}, {{val|0 -5 28 64}}]<br>
@@ Line 331: / Line 332: @@
 Vals: 12, 398, 410, 422, 832, 1254d, 2086bd<br>
 Badness: 0.233140<br><br>
-'''<font style="font-size: 1.2em">11-limit</font>'''<br>
+'''11-limit'''<br>
 Comma list: 5632/5625, 9801/9800, 85937500/85766121<br>
 Mapping: [{{val|2 4 0 -5 -10}}, {{val|0 -5 28 64 102}}]<br>
@@ Line 337: / Line 338: @@
 Vals: 12, 410, 422<br>
 Badness: 0.093926<br><br>
-'''<font style="font-size: 1.2em">13-limit</font>'''<br>
+'''13-limit'''<br>
 Comma list: 1716/1715, 2080/2079, 5632/5625, 831875/830466<br>
 Mapping: [{{val|2 4 0 -5 -10 -13}}, {{val|0 -5 28 64 102 123}}]<br>
@@ Line 343: / Line 344: @@
 Vals: 12f, 410, 422, 1254df, 1676bdff, 2098bcddff<br>
 Badness: 0.053361<br><br>
-'''<font style="font-size: 1.2em">17-limit</font>'''<br>
+'''17-limit'''<br>
 Comma list: 1716/1715, 2080/2079, 2500/2499, 5632/5625, 15895/15876<br>
 Mapping: [{{val|2 4 0 -5 -10 -13 10}}, {{val|0 -5 28 64 102 123 -11}}]<br>
@@ Line 349: / Line 350: @@
 Vals: 12f, 410, 422, 832, 1254df, 1676bdff<br>
 Badness: 0.034659<br><br>
-'''<font style="font-size: 1.2em">19-limit</font>'''<br>
+'''19-limit'''<br>
 Comma list: 1216/1215, 1445/1444, 1716/1715, 2080/2079, 2376/2375, 2500/2499<br>
 Mapping: [{{val|2 4 0 -5 -10 -13 10 8}}, {{val|0 -5 28 64 102 123 -11 3}}]<br>