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159edo/Interval names and harmonies: Difference between revisions

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| Lesser Supraminor Second, Tendoretromean Augmented Prime
| Lesser Supraminor Second, Tendoretromean Augmented Prime
| Ed>↓, D#↑\
| Ed>↓, D#↑\
| In addition to its properties as a type of Supraminor Second, this interval is also one third of a Ptolemaic Major Third in this system and is thus used accordingly.
| In addition to its properties as a type of supraminor second, this interval is also one third of a Ptolemaic Major Third in this system and is thus used accordingly.
|-
|-
| 18
| 18
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| Greater Supraminor Second, Diptolemaic Limma, Retroptolemaic Augmented Prime
| Greater Supraminor Second, Diptolemaic Limma, Retroptolemaic Augmented Prime
| Ed<\, Eb↑↑, D#↑  
| Ed<\, Eb↑↑, D#↑  
| This interval is not only both two thirds of Pythagorean Major Second and the approximation of the Large Limma or Diptolemaic Limma in this system, but also a type of Supraminor Second, and is thus used accordingly.
| This interval is not only both two thirds of Pythagorean Major Second and the approximation of the Large Limma or Diptolemaic Limma in this system, but also a type of supraminor second, and is thus used accordingly.
|-
|-
| 19
| 19
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| Artoneutral Second, Lesser Super-Augmented Prime
| Artoneutral Second, Lesser Super-Augmented Prime
| Ed<, Dt#<↓
| Ed<, Dt#<↓
| As one of two Neutral Seconds in this system, this interval is notable for being half of the approximation of the Neo-Gothic Minor Third, though it is also sometimes used in much the same way as 24edo's own Neutral Second.
| As one of two neutral seconds in this system, this interval is notable for being half of the approximation of the Neo-Gothic Minor Third, though it is also sometimes used in much the same way as 24edo's own Neutral Second.
|-
|-
| 20
| 20
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| Tendoneutral Second, Greater Super-Augmented Prime
| Tendoneutral Second, Greater Super-Augmented Prime
| Ed>, Dt#>↓
| Ed>, Dt#>↓
| As one of two Neutral Seconds in this system, this interval is the one that most closely resembles the [[low-complexity JI]] Neutral Second, and thus, it is frequently used in much the same way as 24edo's own Neutral Second.
| As one of two neutral seconds in this system, this interval is the one that most closely resembles the [[low-complexity JI]] neutral second, and thus, it is frequently used in much the same way as 24edo's own Neutral Second.
|-
|-
| 21
| 21
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| Greater Submajor Second, Ultra-Augmented Prime
| Greater Submajor Second, Ultra-Augmented Prime
| Ed<↑, Dt#<, Fb↓/
| Ed<↑, Dt#<, Fb↓/
| In addition to its properties as the interval that most closely resembles the low-complexity JI Submajor Second, this interval serves as both the Ultra-Augmented Prime and as one third of a Perfect Fourth, and is used accordingly.  
| In addition to its properties as the interval that most closely resembles the Undecimal Submajor Second, this interval serves as both the Ultra-Augmented Prime and as one third of a Perfect Fourth, and is used accordingly.  
|-
|-
| 23
| 23
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| Greater Subminor Third
| Greater Subminor Third
| F↓, Et>/, E#↓↓, Gbb
| F↓, Et>/, E#↓↓, Gbb
| This interval can be interpreted as a type of third on the basis of it approximating result of subtracting a syntonic comma from a Pythagorean Minor Third; however, it most frequently appears in approximations of [[5-limit]] Harmonic scales as the interval between the Ptolemaic Minor Sixth and the Ptolemaic Major Seventh, making it double as a type of augmented second.
| This interval can be interpreted as a type of third on the basis of it approximating the result of subtracting a syntonic comma from a Pythagorean Minor Third; however, it most frequently appears in approximations of [[5-limit]] Harmonic scales as the interval between the Ptolemaic Minor Sixth and the Ptolemaic Major Seventh, making it double as a type of augmented second.
|-
|-
| 37
| 37
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| RKm3, kn3
| RKm3, kn3
| Wide Minor Third
| Wide Minor Third
| Ft<↓, F↑/
| Ft<↓, F↑/, Gdb<
| The main thing of note concerning this interval is that two of these add up to this system's approximation of the Paraminor Fifth.  
| The main thing of note concerning this interval is that two of these add up to this system's approximation of the Paraminor Fifth.  
|-
|-
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| ?  
| ?  
| 144/119, 165/136
| 144/119, 165/136
|  
| kN3
|  
| Lesser Supraminor Third
|  
| 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.
|-
|-
| 45
| 45
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| [[39/32]]
| [[39/32]]
| [[17/14]]
| [[17/14]]
|  
| KKm3, rn3
|  
| Greater Supraminor Third
|  
| Ft<\, F↑↑, 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.
|-
|-
| 46
| 46
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| ?
| ?
| ?
| ?
|  
| n3
|  
| Artoneutral Third
|  
| Ft<
|  
| 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.
|-
|-
| 47
| 47
Line 581: Line 581:
| ?
| ?
| ?
| ?
|  
| N3
|  
| Tendoneutral Third
|  
| Ft>
|  
| 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.
|-
|-
| 48
| 48
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| '''[[16/13]]'''
| '''[[16/13]]'''
| [[21/17]]
| [[21/17]]
|  
| kkM3, RN3
|  
| Lesser Submajor Third
|  
| 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.
|-
|-
| 49
| 49
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| ?
| ?
| 68/55
| 68/55
|  
| Kn3
|  
| Greater Submajor Third
|  
| Ft<↑, Gb↓/
|  
| In addition to its properties as a type of submajor third, this interval is also one third of a Pythagorean Major Seventh in this system and is thus used accordingly.
|-
|-
| 50
| 50
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