Pinetone: Difference between revisions

Lhearne (talk | contribs)
Lhearne (talk | contribs)
→Introduction: added links to intro scale list, and added degrees of 34edo
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If you don't have a [[Lumatone]], no worries, you can set it up just fine on any keyboard!
If you don't have a [[Lumatone]], no worries, you can set it up just fine on any keyboard!


Or, for those who know how to play in 41edo, here's a list of the steps subtended by the scales of Pinetone in degrees of 41edo.
Or, for those who know how to play in 34edo or 41edo, here's a list of the steps subtended by the scales of Pinetone in degrees of 34edo and 41edo.


* Pentatonic major: 76B6B  
* [[Pinetone#Pinetone pentatonic|Pentatonic major]]: 65959, 76B6B (subset of diatonic, harmonic diminished)
* Pentatonic minor: B67B6  
* [[Pinetone#Pinetone pentatonic|Pentatonic minor]]: 95695, B67B6 (subset of diatonic, harmonic diminished)
* Diatonic: 6567656  
* [[Pinetone#Pinetone diatonic|Diatonic]]: 4546454, 6567656 (subset of major and minor-harmonic octatonics)
* Diminished heptatonic: 6565865, 6568565
* [[Pinetone#Pinetone harmonic minor and harmonic major|Harmonic minor]]: 5455475, 6566585 (subset of major and minor-harmonic octatonic)
* Harmonic minor: 6566585  
* [[Pinetone#Pinetone harmonic minor and harmonic major|Harmonic major]]: 5545474, 6656585 (subset of major and minor-harmonic octatonic)
* Harmonic major: 6656585  
* [[Pinetone#Pinetone diminished heptatonic|Diminished heptatonic]]: 5454754 and 5457454, 6565865 and 6568565 (subset of diminished)
* Major-harmonic octatonic: 65625656  
* [[Pinetone#Pinetone octatonic scales|Major-harmonic octatonic]]: 54524545, 65625656 (subset of chromatic, diminished chromatic)
* Minor-harmonic octatonic: 65265665  
* [[Pinetone#Pinetone octatonic scales|Minor-harmonic octatonic]]: 54254554, 65265665 (subset of chromatic, diminished chromatic)
* Diminished: 56265656  
* [[Pinetone#Pinetone diminished octatonic|Diminished]]: 45254545, 56265656 (subset of chromatic, diminished chromatic)
* Harmonic diminished: 65282656
* [[Pinetone#Pinetone harmonic diminished octatonic|Harmonic diminished]]: 45272545, 56292656 (subset of diminished chromatic)
* Chromatic: 155152525515, 515515251551  
* [[Pinetone#Pinetone chromatic|Chromatic]]: 144142414414 and 414414241441, 155152525515 and 515515251551 (subset of hyperchromatic)
* Diminished chromatic: 245245242245, 242254254254  
* [[Pinetone#Pinetone diminished chromatic|Diminished chromatic]]: 234234232234 and 232243243243, 245245242245 and 242254254254 (subset of Pinetone-15)
* Pinetone-15: 242324232423242  
* [[Pinetone#Pinetone-15|Pinetone-15]]: (reduces to Hanson[15] in 34edo), 242324232423242
* Hyperchromatic: 1414114124114141141, 1411414114214114141
* [[Pinetone#Pinetone hyperchromatic scales|Hyperchromatic]]: 1313113123113131131 and 1311313113213113131, 1414114124114141141 and 1411414114214114141


== The Pinetone diatonic ==
== The Pinetone diatonic ==
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22122222 -> 13122222, 22131222, 22221312 i.e., s(Lsm)s(Ls)(ms)(Ls)(ms)(Ls) or (sL)(sm)(sL)(sm)(sL)s(msL)s, (sL)(sm)s(Lsm)s(Ls)(ms)(Ls) or (sL)(sm)(sL)s(msL)s(ms)(Ls), (sL)(sm)(sL)(sm)s(Lsm)s(Ls) or (sL)s(msL)s(ms)(Ls)(ms)(Ls), 6 modes of 2 scales.
22122222 -> 13122222, 22131222, 22221312 i.e., s(Lsm)s(Ls)(ms)(Ls)(ms)(Ls) or (sL)(sm)(sL)(sm)(sL)s(msL)s, (sL)(sm)s(Lsm)s(Ls)(ms)(Ls) or (sL)(sm)(sL)s(msL)s(ms)(Ls), (sL)(sm)(sL)(sm)s(Lsm)s(Ls) or (sL)s(msL)s(ms)(Ls)(ms)(Ls), 6 modes of 2 scales.


The first pair of modes temper to Diminished[8] (m = 0), and to Father[8] (L=0). The scale has 1 augmented step of 52/45, 3 large steps of 10/9~11/10, 2 medium steps of 12/11~13/12, 2 small steps of 25/24~33/32~27/26.
The first pair of modes temper to Diminished[8] (m = 0), and to Father[8] (L=0). The scale has 1 augmented step of 52/45, 3 large steps of 10/9~11/10, 2 medium steps of 12/11~13/12, 2 small steps of 25/24~33/32~27/26.  
{| class="wikitable"
{| class="wikitable"
|+Modes of the just Pinetone harmonic diminished
|+Modes of the just Pinetone harmonic diminished
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{| class="wikitable"
{| class="wikitable"
|+
|+
Intervals of the Pinetone harmonic diminished
!Mode
!Mode
!2nd
!2nd