Functional Just System: Difference between revisions

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VisualWikitext

@@ Line 18: / Line 18: @@
 === Formal commas ===
 {| class="wikitable center-all"
-|+ style="font-size: 105%;" | Formal commas up to the 89-limit
+|+ style="font-size: 105%;" | Formal commas and intervals up to the 89-limit
 ! rowspan="2" |Prime
 ! colspan="3" |Formal comma
+! rowspan="2" |Interval
+! colspan="3" |Reduced prime harmonic
 |-
 ! Standard
+!FloraC
+!Neutral
+!Standard
 !FloraC
 !Neutral
@@ Line 28: / Line 33: @@
 | [[5-limit|5]]
 | colspan="3" | [[81/80|80/81]]
+|[[5/4]]
+| colspan="3" |M3^5
 |-
 | [[7-limit|7]]
 | colspan="3" | [[64/63|63/64]]
+|[[7/4]]
+| colspan="3" |m7^7
 |-
 | [[11-limit|11]]
 | colspan="2" | [[33/32]]
-|[[180224/177147]]
+|sqrt([[243/242|242/243]])
+|[[11/8]]
+| colspan="2" |P4^11
+|sA4^11
 |-
 | [[13-limit|13]]
 | colspan="2" | [[1053/1024]]
-|[[6656/6561]]
+|sqrt([[512/507|507/512]])
+|[[13/8]]
+| colspan="2" |m6^13
+|n6^13
 |-
 | [[17-limit|17]]
 | colspan="3" | [[4131/4096]]
+|[[17/16]]
+| colspan="3" |m2^17
 |-
 | [[19-limit|19]]
 | colspan="3" | [[513/512]]
+|[[19/16]]
+| colspan="3" |m3^19
 |-
 | [[23-limit|23]]
 | colspan="3" | [[736/729]]
+|[[23/16]]
+| colspan="3" |A4^23
 |-
 | [[29-limit|29]]
 | colspan="2" | [[261/256]]
-|59392/59049
+|sqrt(841/864)
+|[[29/16]]
+| colspan="2" |m7^29
+|n7^29
 |-
 | [[31-limit|31]]
 | [[248/243]]
-|[[31/32]]
+|[[32/31|31/32]]
-|16474671/16777216
+|sqrt(2101707/2097152)
+|[[31/16]]
+|M7^31
+|P8^31
+|sd8^31
 |-
 |[[37-limit|37]]
 | colspan="2" |[[37/36]]
-|4849664/4782969
+|sqrt(175232/177147)
+|[[37/32]]
+| colspan="2" |M2^37
+|sA2^37
 |-
 |[[41-limit|41]]
 | colspan="3" |[[82/81]]
+|[[41/32]]
+| colspan="3" |M3^41
 |-
 |[[43-limit|43]]
 | colspan="3" |[[129/128]]
+|[[43/32]]
+| colspan="3" |P4^43
 |-
 |[[47-limit|47]]
 | colspan="2" |47/48
-|8325909/8388608
+|sqrt(536787/524288)
+|[[47/32]]
+| colspan="2" |P5^47
+|sd5^47
 |-
 |[[53-limit|53]]
 | colspan="3" |53/54
+|[[53/32]]
+| colspan="3" |M6^53
 |-
 |[[59-limit|59]]
 | colspan="2" |236/243
-|129033/131072
+|sqrt(3481/3456)
+|[[59/32]]
+| colspan="2" |M7^59
+|n7^59
 |-
 |[[61-limit|61]]
 | colspan="3" |244/243
+|[[61/32]]
+| colspan="3" |M7^61
 |-
 |[[67-limit|67]]
 | colspan="3" |16281/16384
+|[[67/64]]
+| colspan="3" |m2^67
 |-
 |[[71-limit|71]]
 | colspan="3" |71/72
+|[[71/64]]
+| colspan="3" |M2^71
 |-
 |[[73-limit|73]]
 | colspan="3" |73/72
+|[[73/64]]
+| colspan="3" |M2^73
 |-
 |[[79-limit|79]]
 | colspan="2" |79/81
-|518319/524288
+|sqrt(6241/6144)
+|[[79/64]]
+| colspan="2" |M3^79
+|n3^79
 |-
 |[[83-limit|83]]
 | colspan="2" |249/256
-|132328809/134217728
+|sqrt(135596187/134217728)
+|[[83/64]]
+| colspan="2" |P4^83
+|sd4^83
 |-
 |[[89-limit|89]]
 | colspan="2" |712/729
 |64881/65536
+|[[89/64]]
+| colspan="2" |A4^89
+|d5^89
 |}
+Flora's version differs from standard only for the primes 31, 157, 353...
 === Harmonic series ===
@@ Line 207: / Line 268: @@
 | D
 | E<sup>5</sup>
-| '''E♯<sup>11</sup>'''
+| '''F‡<sup>11</sup>'''
 | G
-| '''G♯<sup>13</sup>'''
+| '''Ad<sup>13</sup>'''
 | B♭<sup>7</sup>
 | B<sup>5</sup>
@@ Line 220: / Line 281: @@
 | E<sup>5</sup>
 | F<sup>7</sup>
-| '''E♯<sup>11</sup>'''
+| '''F‡<sup>11</sup>'''
-| '''F♯<sup>23</sup>'''
+| F♯<sup>23</sup>
 | G
 |-
 ! 25–32
 | G♯<sup>25</sup>
-| '''G♯<sup>13</sup>'''
+| '''Ad<sup>13</sup>'''
 | A
 | B♭<sup>7</sup>
-| '''A♯<sup>29</sup>'''
+| '''Bd<sup>29</sup>'''
 | B<sup>5</sup>
-| '''D𝄫<sup>31</sup>'''
+| '''Cd<sup>31</sup>'''
 | C
 |}
+Boldened notes denote deviations from default.
 == See also ==