Muggles: Difference between revisions

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-'''Muggles''' is the rank-2 temperament [[tempering out]] [[126/125]], the starling comma, and [[525/512]], Avicenna's enharmonic diesis. It is an alternative 7-limit extension to [[magic]]. 11-limit extension of the muggles include:
+'''Muggles''' is the rank-2 [[regular temperament|temperament]] [[tempering out]] [[126/125]], the starling comma, and [[525/512]], Avicenna's enharmonic diesis. It is an alternative 7-limit extension to [[magic]]. 11-limit extension of the muggles include:
-* Muggles (3e&amp;16 or 16&amp;19) - tempering out 45/44 and 385/384
+* Muggles (3e & 16 or 16 & 19) – tempering out 45/44 and 385/384
-* Muggloid (3&amp;16 or 16&amp;19e) - tempering out 33/32 and 176/175
+* Muggloid (3 & 16 or 16 & 19e) – tempering out 33/32 and 176/175
 This temperament was named by [[Gene Ward Smith]] in 2003<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5279.html#5299 Yahoo! Tuning Group | ''Poptimal generators'']</ref>.
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 == Tuning spectra ==
 === Muggles ===
-Gencom: [2 5/4; 45/44 65/64 78/77 126/125]
-Gencom mapping: [{{val| 1 0 2 5 0 4 }}, {{val| 0 5 1 -7 11 -1 }}]
 {| class="wikitable center-all left-4"
 |-
-! ET<br>generator
+! Edo<br>generator
-! [[eigenmonzo|eigenmonzo<br>(unchanged-interval)]]
+! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]
-! generator<br>(¢)
+! Generator (¢)
-! comments
+! Comments
 |-
 |
@@ Line 27: / Line 23: @@
 |-
 |
-| 16/13
+| 13/8
 | 359.472
 |
@@ Line 42: / Line 38: @@
 |-
 |
-| 12/11
+| 11/6
 | 374.894
 |
@@ Line 52: / Line 48: @@
 |-
 |
-| 8/7
+| 7/4
 | 375.882
 |
@@ Line 67: / Line 63: @@
 |-
 |
-| 14/11
+| 11/7
 | 376.805
 |
@@ Line 92: / Line 88: @@
 |-
 |
-| <span style="font-size:0.75em">{{monzo| 0 113 -12 -68 58 -26 }}</span>
+| {{monzo| 0 113 -12 -68 58 -26 }}
 | 377.630
 | 13-odd-limit least squares
@@ Line 102: / Line 98: @@
 |-
 |
-| <span style="font-size:0.75em">{{monzo| 0 134 9 -81 63 -33 }}</span>
+| {{monzo| 0 134 9 -81 63 -33 }}
 | 377.718
 | 15-odd-limit least squares
 |-
 |
-| <span style="font-size:0.9em">{{monzo| 0 85 -14 -62 46 }}</span>
+| {{monzo| 0 85 -14 -62 46 }}
 | 377.758
 | 11-odd-limit least squares
@@ Line 127: / Line 123: @@
 |-
 |
-| 18/13
+| 13/9
 | 378.489
 |
@@ Line 142: / Line 138: @@
 |-
 |
-| 14/13
+| 13/7
 | 378.617
 |
 |-
 |
-| 6/5
+| 5/3
 | 378.910
 |
@@ Line 157: / Line 153: @@
 |-
 |
-| 10/9
+| 9/5
 | 379.733
 |
@@ Line 167: / Line 163: @@
 |-
 |
-| 4/3
+| 3/2
 | 380.391
 | 5-odd-limit minimax
 |-
 |
-| 16/15
+| 15/8
 | 381.378
 |
@@ Line 188: / Line 184: @@
 === Muggloid ===
-Gencom: [2 5/4; 33/32 65/64 105/104 126/125]
-Gencom mapping: [{{val| 1 0 2 5 5 4 }}, {{val| 0 5 1 -7 -5 -1 }}]
 {| class="wikitable center-all left-4"
 |-
-! ET<br>generator
+! Edo<br>generator
-! [[eigenmonzo|eigenmonzo<br>(unchanged-interval)]]
+! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]
-! generator<br>(¢)
+! Generator (¢)
-! comments
+! Comments
 |-
 |
-| 16/13
+| 13/8
 | 359.472
 |
@@ Line 230: / Line 222: @@
 |-
 |
-| 12/11
+| 11/6
 | 375.064
 |
 |-
 |
-| 8/7
+| 7/4
 | 375.882
 |
@@ Line 280: / Line 272: @@
 |-
 |
-| 18/13
+| 13/9
 | 378.489
 |
@@ Line 290: / Line 282: @@
 |-
 |
-| 14/13
+| 13/7
 | 378.617
 |
 |-
 |
-| 6/5
+| 5/3
 | 378.910
 |
@@ Line 305: / Line 297: @@
 |-
 |
-| 10/9
+| 9/5
 | 379.733
 |
 |-
 |
-| 4/3
+| 3/2
 | 380.391
 | 5-odd-limit minimax
 |-
 |
-| 16/15
+| 15/8
 | 381.378
 |
@@ Line 330: / Line 322: @@
 |-
 |
-| 14/11
+| 11/7
 | 391.246
 |