Pentatonic Functional Just System: Difference between revisions

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 == The 11- and 13-limits ==
-We now look at the entire [[15-odd-limit]] [[tonality diamond]]. Here, we will use more complex formal commas than in the FJS: The formal comma for 11 is [[8192/8019|8019/8192]] (11/8 is <sub>5</sub>S3<sup>11</sup>), and the formal comma for 13 is [[6656/6561]] (13/8 is <sub>5</sub>s5<sup>13</sup>).
+We now look at the entire [[15-odd-limit]] [[tonality diamond]]. Here, we will use different formal commas than in the FJS: The formal comma for 11 is [[729/704|704/729]] (11/8 is <sub>5</sub>s4<sup>11</sup>), and the formal comma for 13 is [[27/26|26/27]] (13/8 is <sub>5</sub>m5<sup>13</sup>).
 {| class="wikitable right-all mw-collapsible"
 |+ {{nowrap|15-odd-limit by PFJS}}
@@ Line 256: / Line 256: @@
 | 15/14 || 119.4 || <sub>5</sub>s2<sup>5</sup><sub>7</sub>
 |-
-| 14/13 || 128.3 || <sub>5</sub>SS1<sup>7</sup><sub>13</sub>
+| 14/13 || 128.3 ||
 |-
-| 13/12 || 138.6 || <sub>5</sub>s2<sup>13</sup>
+| 13/12 || 138.6 ||
 |-
-| 12/11 || 150.6 || <sub>5</sub>s2<sub>11</sub>
+| 12/11 || 150.6 ||
 |-
-| 11/10 || 165.0 || <sub>5</sub>SS1<sup>11</sup><sub>5</sub>
+| 11/10 || 165.0 ||
 |-
 | 10/9 || 182.4 || <sub>5</sub>m2<sup>5</sup>
@@ Line 270: / Line 270: @@
 | 8/7 || 231.2 || <sub>5</sub>m2<sub>7</sub>
 |-
-| 15/13 || 247.8 || <sub>5</sub>M2<sup>5</sup><sub>13</sub>
+| 15/13 || 247.8 || <sub>5</sub>m2<sup>5</sup><sub>13</sub>
 |-
 | 7/6 || 266.9 || <sub>5</sub>M2<sup>7</sup>
 |-
-| 13/11 || 289.2 || <sub>5</sub>sss3<sup>13</sup><sub>11</sub>
+| 13/11 || 289.2 ||
 |-
 | 6/5 || 315.6 || <sub>5</sub>M2<sub>5</sub>
 |-
-| 11/9 || 347.4 || <sub>5</sub>S2<sup>11</sup>
+| 11/9 || 347.4 ||
 |-
-| 16/13 || 359.3 || <sub>5</sub>S2<sub>13</sub>
+| 16/13 || 359.3 ||
 |-
 | 5/4 || 386.3 || <sub>5</sub>s3<sup>5</sup>