159edo/Interval names and harmonies: Difference between revisions
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Trying to get a handle on the types of diminished fourth in here- I need to catch up on this before I start working with major thirds... |
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| kkM2, RN2, rUA1 | | kkM2, RN2, rUA1 | ||
| Lesser Submajor Second, Diretroptolemaic Augmented Prime | | Lesser Submajor Second, Diretroptolemaic Augmented Prime | ||
| Ed>/, E↓↓, Dt#>↓/, D#↑↑ | | Ed>/, E↓↓, Dt#>↓/, D#↑↑ | ||
| In addition to its properties as a type of Submajor Second, this interval is also one half of a Ptolemaic Minor Third in this system and is thus used accordingly. | | In addition to its properties as a type of Submajor Second, this interval is also one half of a Ptolemaic Minor Third in this system and is thus used accordingly. | ||
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| ? | | ? | ||
| 144/119, 165/136 | | 144/119, 165/136 | ||
| kN3 | | kN3, ud4 | ||
| Lesser Supraminor Third | | Lesser Supraminor Third, Infra-Diminished Fourth | ||
| Ft>↓, Gdb> | | Ft>↓, Gdb> | ||
| This interval is mainly of interest due to the fact that it's exactly twice the size of it's fourth complement- the approximation of the Undecimal Submajor Second- and its interesting properties as a type of supraminor third. | | This interval is mainly of interest due to the fact that it's exactly twice the size of it's fourth complement- the approximation of the Undecimal Submajor Second- and its interesting properties as a type of supraminor third. | ||
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| [[39/32]] | | [[39/32]] | ||
| [[17/14]] | | [[17/14]] | ||
| KKm3, rn3 | | KKm3, rn3, Rud4 | ||
| Greater Supraminor Third | | Greater Supraminor Third, Diretroptolemaic Diminished Fourth | ||
| Ft<\, F↑↑, Gb↓↓ | | Ft<\, F↑↑, Gdb<↑\, Gb↓↓ | ||
| This interval is of interest because not only does it have 13-limit interpretations, but it also has usage as a 17-odd-limit interval, and all while being easily reached by stacking three Ptolemaic Minor Seconds. | | This interval is of interest because not only does it have 13-limit interpretations, but it also has usage as a 17-odd-limit interval, and all while being easily reached by stacking three Ptolemaic Minor Seconds. | ||
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| ? | | ? | ||
| ? | | ? | ||
| n3 | | n3, rKud4 | ||
| Artoneutral Third | | Artoneutral Third, Lesser Sub-Diminished Fourth | ||
| Ft< | | Ft<, Gdb<↑ | ||
| As one of two neutral thirds in this system, this interval is the one that most closely resembles the [[low-complexity JI]] neutral third, and thus, it is frequently used in much the same way as 24edo's own Neutral Third; on top of that, it can be stacked in interesting ways in this system. | | As one of two neutral thirds in this system, this interval is the one that most closely resembles the [[low-complexity JI]] neutral third, and thus, it is frequently used in much the same way as 24edo's own Neutral Third; on top of that, it can be stacked in interesting ways in this system. | ||
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| ? | | ? | ||
| ? | | ? | ||
| N3 | | N3, sd4, Kud4 | ||
| Tendoneutral Third | | Tendoneutral Third, Greater Sub-Diminished Fourth | ||
| Ft> | | Ft>, Gdb>↑ | ||
| As one of two neutral seconds in this system, this interval is notable for being one half of a possible generator for this system's superpyth diatonic scale. | | As one of two neutral seconds in this system, this interval is notable for being one half of a possible generator for this system's superpyth diatonic scale. | ||
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| kkM3, RN3 | | kkM3, RN3 | ||
| Lesser Submajor Third | | Lesser Submajor Third | ||
| Ft>/, F#↓↓, Gb↓ | | Ft>/, F#↓↓, Gb↓ | ||
| As both the approximation of the octave-reduced thirteenth subharmonic, and ostensibly one of the easiest 13-limit thirds to utilize in chords framed by some type of sharp wolf fifth, this interval is used accordingly. | | As both the approximation of the octave-reduced thirteenth subharmonic, and ostensibly one of the easiest 13-limit thirds to utilize in chords framed by some type of sharp wolf fifth, this interval is used accordingly. | ||
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