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Pentatonic Functional Just System: Difference between revisions

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m nvm I figured that out
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→The 11- and 13-limits: delete outdated intervals of 11 and 13
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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 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>).
{| class="wikitable right-all mw-collapsible"
{| class="wikitable right-all mw-collapsible"
|+ {{nowrap|15-odd-limit by PFJS (last column is outdated)}}
|+ {{nowrap|15-odd-limit by PFJS}}
|-
|-
! Ratio !! Cents !! Interval name
! Ratio !! Cents !! Interval name
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| 15/14 || 119.4 || <sub>5</sub>s2<sup>5</sup><sub>7</sub>
| 15/14 || 119.4 || <sub>5</sub>s2<sup>5</sup><sub>7</sub>
|-
|-
| 14/13 || 128.3 || <sub>5</sub>S1<sup>7</sup><sub>13</sub>
| 14/13 || 128.3 ||
|-
|-
| 13/12 || 138.6 || <sub>5</sub>m2<sup>13</sup>
| 13/12 || 138.6 ||
|-
|-
| 12/11 || 150.6 || <sub>5</sub>m2<sub>11</sub>
| 12/11 || 150.6 ||
|-
|-
| 11/10 || 165.0 || <sub>5</sub>S1<sup>11</sup><sub>5</sub>
| 11/10 || 165.0 ||
|-
|-
| 10/9 || 182.4 || <sub>5</sub>m2<sup>5</sup>
| 10/9 || 182.4 || <sub>5</sub>m2<sup>5</sup>
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| 8/7 || 231.2 || <sub>5</sub>m2<sub>7</sub>
| 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 ||
|-
|-
| 7/6 || 266.9 || <sub>5</sub>M2<sup>7</sup>
| 7/6 || 266.9 || <sub>5</sub>M2<sup>7</sup>
|-
|-
| 13/11 || 289.2 || <sub>5</sub>s3<sup>13</sup><sub>11</sub>
| 13/11 || 289.2 ||
|-
|-
| 6/5 || 315.6 || <sub>5</sub>M2<sub>5</sub>
| 6/5 || 315.6 || <sub>5</sub>M2<sub>5</sub>
|-
|-
| 11/9 || 347.4 || <sub>5</sub>M2<sup>11</sup>
| 11/9 || 347.4 ||
|-
|-
| 16/13 || 359.3 || <sub>5</sub>M2<sub>13</sub>
| 16/13 || 359.3 ||
|-
|-
| 5/4 || 386.3 || <sub>5</sub>s3<sup>5</sup>
| 5/4 || 386.3 || <sub>5</sub>s3<sup>5</sup>
|-
|-
| 14/11 || 417.5 || <sub>5</sub>P3<sup>7</sup><sub>11</sub>
| 14/11 || 417.5 ||
|-
|-
| 9/7 || 435.1 ||
| 9/7 || 435.1 ||
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