Functional Just System: Difference between revisions
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== Quick reference == | == Quick reference == | ||
=== Formal commas === | === Formal commas === | ||
{| class="wikitable center-all" | |||
|+Formal commas below 32-limit | |||
! Prime | |||
! Formal Comma | |||
|- | |||
| [[5-limit|5]] | |||
| [[81/80]] | |||
|- | |||
| [[7-limit|7]] | |||
| [[64/63]] | |||
|- | |||
| [[11-limit|11]] | |||
| [[33/32]] | |||
|- | |||
| [[13-limit|13]] | |||
| [[1053/1024]] | |||
|- | |||
| [[17-limit|17]] | |||
| [[4131/4096]] | |||
|- | |||
| [[19-limit|19]] | |||
| [[513/512]] | |||
|- | |||
| [[23-limit|23]] | |||
| [[736/729]] | |||
|- | |||
| [[29-limit|29]] | |||
| [[261/256]] | |||
|- | |||
| [[31-limit|31]] | |||
| [[248/243]] | |||
|} | |||
=== | === Harmonic series === | ||
{| class="wikitable center-all" | |||
|+Overtones 1–32 with root C | |||
C C G C E<sup>5</sup> G Bb<sup>7</sup> C | ! 1–8 | ||
| C | |||
D E<sup>5</sup> F<sup>11</sup> G Ab<sup>13</sup> Bb<sup>7</sup> B<sup>5</sup> C | | C | ||
| G | |||
Db<sup>17</sup> D Eb<sup>19</sup> E<sup>5</sup> F<sup>7</sup> F<sup>11</sup> F#<sup>23</sup> G | | C | ||
| E<sup>5</sup> | |||
G#<sup>25</sup> Ab<sup>13</sup> A Bb<sup>7</sup> Bb<sup>29</sup> B<sup>5</sup> B<sup>31</sup> C | | G | ||
| Bb<sup>7</sup> | |||
| C | |||
|- | |||
! 9–16 | |||
| D | |||
| E<sup>5</sup> | |||
| F<sup>11</sup> | |||
| G | |||
| Ab<sup>13</sup> | |||
| Bb<sup>7</sup> | |||
| B<sup>5</sup> | |||
| C | |||
|- | |||
! 17–24 | |||
| Db<sup>17</sup> | |||
| D | |||
| Eb<sup>19</sup> | |||
| E<sup>5</sup> | |||
| F<sup>7</sup> | |||
| F<sup>11</sup> | |||
| F#<sup>23</sup> | |||
| G | |||
|- | |||
! 25–32 | |||
| G#<sup>25</sup> | |||
| Ab<sup>13</sup> | |||
| A | |||
| Bb<sup>7</sup> | |||
| Bb<sup>29</sup> | |||
| B<sup>5</sup> | |||
| B<sup>31</sup> | |||
| C | |||
|} | |||
[[Category:Notation]] | [[Category:Notation]] | ||
[[Category:Just intonation]] | [[Category:Just intonation]] | ||
Revision as of 11:33, 19 October 2020
The Functional Just System (FJS) is a logical notation system for the entirety of just intonation (JI) which claims to be both more coherent and more succinct than both Helmholtz-Ellis notation and Ben Johnston's notation.
Weblinks
Quick reference
Formal commas
| Prime | Formal Comma |
|---|---|
| 5 | 81/80 |
| 7 | 64/63 |
| 11 | 33/32 |
| 13 | 1053/1024 |
| 17 | 4131/4096 |
| 19 | 513/512 |
| 23 | 736/729 |
| 29 | 261/256 |
| 31 | 248/243 |
Harmonic series
| 1–8 | C | C | G | C | E5 | G | Bb7 | C |
|---|---|---|---|---|---|---|---|---|
| 9–16 | D | E5 | F11 | G | Ab13 | Bb7 | B5 | C |
| 17–24 | Db17 | D | Eb19 | E5 | F7 | F11 | F#23 | G |
| 25–32 | G#25 | Ab13 | A | Bb7 | Bb29 | B5 | B31 | C |