Pinetone: Difference between revisions
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The six modes of the just porcutone diatonic are: | The six modes of the just porcutone diatonic are: | ||
* Mode -3: 27/25 6/5 4/3 36/25 8/5 9/5 2/1 = Meantone[7] 0|6 x Porcupine[7] 1|5 = sLLsLLL x sssssLs = sMMsMLs = | * Mode -3: 27/25 6/5 4/3 36/25 8/5 9/5 2/1 = Meantone[7] 0|6 x Porcupine[7] 1|5 = sLLsLLL x sssssLs = sMMsMLs = Locrian x dark diminished = Locrian dark diminished | ||
* Mode -2: 10/9 6/5 4/3 40/27 8/5 16/9 2/1 = Meantone[7] 2|4 x Porcupine[7] 0|6 = LsLLsLL x ssssssL = MsMMsML = Aeolian x magical seventh mode = Aeolian magical seventh | * Mode -2: 10/9 6/5 4/3 40/27 8/5 16/9 2/1 = Meantone[7] 2|4 x Porcupine[7] 0|6 = LsLLsLL x ssssssL = MsMMsML = Aeolian x magical seventh mode = Aeolian magical seventh | ||
* Mode -1: 27/25 6/5 27/20 3/2 81/50 9/5 2/1 = Meantone[7] 1|5 x Porcupine[7] 4|2 = sLLLsLL x ssLssss = sMLMsMM = Phrygian x bright minor = Phrygian bright minor | * Mode -1: 27/25 6/5 27/20 3/2 81/50 9/5 2/1 = Meantone[7] 1|5 x Porcupine[7] 4|2 = sLLLsLL x ssLssss = sMLMsMM = Phrygian x bright minor = Phrygian bright minor | ||
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If we temper so that 10/9 ~ 11/10, and 27/25 ~ 12/11 (and 9/8 ~ 25/22) ie., tempering out 100/99, we get the Ptolemismic Porcutone diatonic with modes: | If we temper so that 10/9 ~ 11/10, and 27/25 ~ 12/11 (and 9/8 ~ 25/22) ie., tempering out 100/99, we get the Ptolemismic Porcutone diatonic with modes: | ||
* | * Locrian dark diminished: ~ 12/11 6/5 4/3 16/11 8/5 9/5 2/1 | ||
* Aeolian magical seventh: ~ 10/9 6/5 4/3 22/15 8/5 16/9 2/1 | * Aeolian magical seventh: ~ 10/9 6/5 4/3 22/15 8/5 16/9 2/1 | ||
* Phrygian bright minor: ~ 12/11 6/5 15/11 3/2 18/11 9/5 2/1 | * Phrygian bright minor: ~ 12/11 6/5 15/11 3/2 18/11 9/5 2/1 | ||
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Tuned to TE: | Tuned to TE: | ||
* | * Locrian dark diminished: 146.635 320.69 494.745 641.38 815.435 1025.214 1199.269 | ||
* Aeolian magical seventh: 174.055 320.69 494.745 668.8 815.435 989.49 1199.269 | * Aeolian magical seventh: 174.055 320.69 494.745 668.8 815.435 989.49 1199.269 | ||
* Phrygian bright minor: 146.635 320.69 530.469 704.524 851.159 1025.214 1199.269 | * Phrygian bright minor: 146.635 320.69 530.469 704.524 851.159 1025.214 1199.269 | ||
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* Mode -3: smsmmsL altered diminished magical seventh | * Mode -3: smsmmsL altered diminished magical seventh | ||
* Mode -2: smmsLsm | * Mode -2: smmsLsm Locrian natural 6 bright diminished | ||
* Mode -2: msmmsLs harmonic minor dark diminished | * Mode -2: msmmsLs harmonic minor dark diminished | ||
* Mode 0: sLsmsmm Phyrgian dominant dark major | * Mode 0: sLsmsmm Phyrgian dominant dark major | ||
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Which has porcutone harmonic major modes: | Which has porcutone harmonic major modes: | ||
* Mode -3: smmsmsL | * Mode -3: smmsmsL Locrian magical bb7 | ||
* Mode -2: smsLsmm Phrygian b4 symmetric minor | * Mode -2: smsLsmm Phrygian b4 symmetric minor | ||
* Mode -1: msmsLsm Dorian b5 dark diminished | * Mode -1: msmsLsm Dorian b5 dark diminished | ||