159edo/Interval names and harmonies: Difference between revisions
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Changed Syntonic-Rastmic Subchroma notation. |
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| Line 55: | Line 55: | ||
| rK1 | | rK1 | ||
| Narrow Superprime | | Narrow Superprime | ||
| | | D+\ | ||
| This interval... | | This interval... | ||
* Approximates the [[ptolemisma]] and the [[biyatisma]] | * Approximates the [[ptolemisma]] and the [[biyatisma]] | ||
| Line 70: | Line 70: | ||
| K1 | | K1 | ||
| Lesser Superprime | | Lesser Superprime | ||
| | | D+ | ||
| This interval... | | This interval... | ||
* Approximates the [[syntonic comma]], and as such... | * Approximates the [[syntonic comma]], and as such... | ||
| Line 91: | Line 91: | ||
| S1, kU1 | | S1, kU1 | ||
| Greater Superprime, Narrow Inframinor Second | | Greater Superprime, Narrow Inframinor Second | ||
| Edb<, Dt< | | Edb<, Dt<ɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[septimal comma]], and thus... | * Approximates the [[septimal comma]], and thus... | ||
| Line 116: | Line 116: | ||
| um2, RkU1 | | um2, RkU1 | ||
| Inframinor Second, Wide Superprime | | Inframinor Second, Wide Superprime | ||
| Edb>, Dt> | | Edb>, Dt>ɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[45/44|Undecimal Fifth-Tone]] | * Approximates the [[45/44|Undecimal Fifth-Tone]] | ||
| Line 140: | Line 140: | ||
| kkm2, Rum2, rU1 | | kkm2, Rum2, rU1 | ||
| Wide Inframinor Second, Narrow Ultraprime | | Wide Inframinor Second, Narrow Ultraprime | ||
| | | Ebɔɔ, Dt<\ | ||
| This interval... | | This interval... | ||
* Approximates the [[40/39|Tridecimal Minor Diesis]] | * Approximates the [[40/39|Tridecimal Minor Diesis]] | ||
| Line 162: | Line 162: | ||
| U1, rKum2 | | U1, rKum2 | ||
| Ultraprime, Narrow Subminor Second | | Ultraprime, Narrow Subminor Second | ||
| Dt<, Edb< | | Dt<, Edb<+ | ||
| This interval... | | This interval... | ||
* Approximates the [[33/32|Al-Farabi Quartertone]], and as such... | * Approximates the [[33/32|Al-Farabi Quartertone]], and as such... | ||
| Line 186: | Line 186: | ||
| sm2, Kum2, uA1 | | sm2, Kum2, uA1 | ||
| Lesser Subminor Second, Wide Ultraprime, Infra-Augmented Prime | | Lesser Subminor Second, Wide Ultraprime, Infra-Augmented Prime | ||
| Dt>, | | Dt>, Ebɔ\ | ||
| This interval... | | This interval... | ||
* Approximates the [[28/27|Septimal Subminor Second]], and thus... | * Approximates the [[28/27|Septimal Subminor Second]], and thus... | ||
| Line 206: | Line 206: | ||
| km2, RuA1, kkA1 | | km2, RuA1, kkA1 | ||
| Greater Subminor Second, Diptolemaic Augmented Prime | | Greater Subminor Second, Diptolemaic Augmented Prime | ||
| | | Ebɔ, D#ɔɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[25/24|Classic Chroma]] or Diptolemaic Chroma, and thus... | * Approximates the [[25/24|Classic Chroma]] or Diptolemaic Chroma, and thus... | ||
| Line 224: | Line 224: | ||
| Rkm2, rKuA1 | | Rkm2, rKuA1 | ||
| Wide Subminor Second, Lesser Sub-Augmented Prime | | Wide Subminor Second, Lesser Sub-Augmented Prime | ||
| | | Ebɔ/, Dt<+ | ||
| This interval... | | This interval... | ||
* Approximates multiple complex [[17-limit]] intervals relative to the Tonic and can be used... | * Approximates multiple complex [[17-limit]] intervals relative to the Tonic and can be used... | ||
| Line 243: | Line 243: | ||
| rm2, KuA1 | | rm2, KuA1 | ||
| Narrow Minor Second, Greater Sub-Augmented Prime | | Narrow Minor Second, Greater Sub-Augmented Prime | ||
| Eb\, Dt> | | Eb\, Dt>+ | ||
| This interval... | | This interval... | ||
* Approximates the [[21/20|Septimal Minor Semitone]], and thus... | * Approximates the [[21/20|Septimal Minor Semitone]], and thus... | ||
| Line 260: | Line 260: | ||
| m2, kA1 | | m2, kA1 | ||
| Pythagorean Minor Second, Ptolemaic Augmented Prime | | Pythagorean Minor Second, Ptolemaic Augmented Prime | ||
| Eb, D# | | Eb, D#ɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[256/243|Pythagorean Limma]] or Pythagorean Minor Second, and as such... | * Approximates the [[256/243|Pythagorean Limma]] or Pythagorean Minor Second, and as such... | ||
| Line 303: | Line 303: | ||
| rKm2, rA1 | | rKm2, rA1 | ||
| Tendomean Minor Second, Tendomean Augmented Prime | | Tendomean Minor Second, Tendomean Augmented Prime | ||
| D#\, | | D#\, Eb+\ | ||
| This interval... | | This interval... | ||
* Approximates the [[17/16|Large Septendecimal Semitone]] or [[octave reduction|Octave-Reduced]] Seventeenth Harmonic, and thus... | * Approximates the [[17/16|Large Septendecimal Semitone]] or [[octave reduction|Octave-Reduced]] Seventeenth Harmonic, and thus... | ||
| Line 322: | Line 322: | ||
| Km2, A1 | | Km2, A1 | ||
| Ptolemaic Minor Second, Pythagorean Augmented Prime | | Ptolemaic Minor Second, Pythagorean Augmented Prime | ||
| D#, | | D#, Eb+ | ||
| This interval... | | This interval... | ||
* Approximates the [[16/15|Classic Minor Second]] or Ptolemaic Minor Second, and as such... | * Approximates the [[16/15|Classic Minor Second]] or Ptolemaic Minor Second, and as such... | ||
| Line 346: | Line 346: | ||
| RKm2, kn2, RA1 | | RKm2, kn2, RA1 | ||
| Wide Minor Second, Artoretromean Augmented Prime | | Wide Minor Second, Artoretromean Augmented Prime | ||
| Ed< | | Ed<ɔ, Eb+/, D#/ | ||
| This interval... | | This interval... | ||
* Approximates the [[15/14|Septimal Major Semitone]], and thus... | * Approximates the [[15/14|Septimal Major Semitone]], and thus... | ||
| Line 363: | Line 363: | ||
| kN2, rKA1 | | kN2, rKA1 | ||
| Lesser Supraminor Second, Tendoretromean Augmented Prime | | Lesser Supraminor Second, Tendoretromean Augmented Prime | ||
| Ed> | | Ed>ɔ, D#+\ | ||
| This interval... | | This interval... | ||
* Approximates the [[14/13|Tridecimal Supraminor Second]] and a similar 11-limit interval that acts as the Supraminor counterpart to the Undecimal Submajor Second, and thus... | * Approximates the [[14/13|Tridecimal Supraminor Second]] and a similar 11-limit interval that acts as the Supraminor counterpart to the Undecimal Submajor Second, and thus... | ||
| Line 382: | Line 382: | ||
| KKm2, rn2, KA1 | | KKm2, rn2, KA1 | ||
| Greater Supraminor Second, Diptolemaic Limma, Retroptolemaic Augmented Prime | | Greater Supraminor Second, Diptolemaic Limma, Retroptolemaic Augmented Prime | ||
| Ed<\, | | Ed<\, Eb++, D#+ | ||
| This interval... | | This interval... | ||
* Approximates the [[27/25|Large Limma]], and thus... | * Approximates the [[27/25|Large Limma]], and thus... | ||
| Line 400: | Line 400: | ||
| n2, SA11 | | n2, SA11 | ||
| Artoneutral Second, Lesser Super-Augmented Prime | | Artoneutral Second, Lesser Super-Augmented Prime | ||
| Ed<, Dt#< | | Ed<, Dt#<ɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[88/81|Alpharabian Artoneutral Second]] or 2nd Undecimal Neutral Second, and as such... | * Approximates the [[88/81|Alpharabian Artoneutral Second]] or 2nd Undecimal Neutral Second, and as such... | ||
| Line 422: | Line 422: | ||
| N2, RkUA1 | | N2, RkUA1 | ||
| Tendoneutral Second, Greater Super-Augmented Prime | | Tendoneutral Second, Greater Super-Augmented Prime | ||
| Ed>, Dt#> | | Ed>, Dt#>ɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[12/11|Alpharabian Tendoneutral Second]], which is the traditional, [[low-complexity JI|low complexity]] Undecimal Neutral Second, and as such... | * Approximates the [[12/11|Alpharabian Tendoneutral Second]], which is the traditional, [[low-complexity JI|low complexity]] Undecimal Neutral Second, and as such... | ||
| Line 444: | Line 444: | ||
| kkM2, RN2, rUA1 | | kkM2, RN2, rUA1 | ||
| Lesser Submajor Second, Diretroptolemaic Augmented Prime | | Lesser Submajor Second, Diretroptolemaic Augmented Prime | ||
| Ed>/, | | Ed>/, Eɔɔ, Dt#>ɔ/, D#++ | ||
| This interval... | | This interval... | ||
* Is one half of this system's approximation of the Classic Minor Third | * Is one half of this system's approximation of the Classic Minor Third | ||
| Line 460: | Line 460: | ||
| Kn2, UA1 | | Kn2, UA1 | ||
| Greater Submajor Second, Ultra-Augmented Prime | | Greater Submajor Second, Ultra-Augmented Prime | ||
| Ed< | | Ed<+, Dt#<, Fbɔ/ | ||
| This interval... | | This interval... | ||
* Approximates the [[11/10|Undecimal Submajor Second]] and a similar 13-limit interval that acts as the Submajor counterpart to the Tridecimal Supraminor Second, and thus... | * Approximates the [[11/10|Undecimal Submajor Second]] and a similar 13-limit interval that acts as the Submajor counterpart to the Tridecimal Supraminor Second, and thus... | ||
| Line 479: | Line 479: | ||
| rkM2, KN2 | | rkM2, KN2 | ||
| Narrow Major Second | | Narrow Major Second | ||
| Ed> | | Ed>+, Eɔ\, Dt#>, Fb\ | ||
| This interval... | | This interval... | ||
* Is one half of the approximation of the traditional, [[low-complexity JI|low complexity]] Undecimal Neutral Third in this system | * Is one half of the approximation of the traditional, [[low-complexity JI|low complexity]] Undecimal Neutral Third in this system | ||
| Line 495: | Line 495: | ||
| kM2 | | kM2 | ||
| Ptolemaic Major Second | | Ptolemaic Major Second | ||
| | | Eɔ, Fb | ||
| This interval... | | This interval... | ||
* Approximates the [[10/9|Classic Major Second]] or Ptolemaic Major Second, and as such... | * Approximates the [[10/9|Classic Major Second]] or Ptolemaic Major Second, and as such... | ||
| Line 517: | Line 517: | ||
| RkM2 | | RkM2 | ||
| Artomean Major Second | | Artomean Major Second | ||
| | | Eɔ/, Fb/ | ||
| This interval... | | This interval... | ||
* Approximates the [[143/128|Grossmic Whole Tone]], and thus... | * Approximates the [[143/128|Grossmic Whole Tone]], and thus... | ||
| Line 534: | Line 534: | ||
| rM2 | | rM2 | ||
| Tendomean Major Second | | Tendomean Major Second | ||
| E\, | | E\, Fb+\ | ||
| This interval... | | This interval... | ||
* Approximates the [[28/25|Middle Major Second]] | * Approximates the [[28/25|Middle Major Second]] | ||
| Line 551: | Line 551: | ||
| M2 | | M2 | ||
| Pythagorean Major Second | | Pythagorean Major Second | ||
| E, | | E, Fb+ | ||
| This interval... | | This interval... | ||
* Approximates the [[9/8|Pythagorean Major Second]], and as such... | * Approximates the [[9/8|Pythagorean Major Second]], and as such... | ||
| Line 574: | Line 574: | ||
| RM2 | | RM2 | ||
| Wide Major Second | | Wide Major Second | ||
| E/, Fd< | | E/, Fd<ɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[44/39|Tridecimal Major Second]], and thus... | * Approximates the [[44/39|Tridecimal Major Second]], and thus... | ||
| Line 591: | Line 591: | ||
| rKM2 | | rKM2 | ||
| Narrow Supermajor Second | | Narrow Supermajor Second | ||
| | | E+\, Fd>ɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[17/15|Septendecimal Whole Tone]], and thus... | * Approximates the [[17/15|Septendecimal Whole Tone]], and thus... | ||
| Line 611: | Line 611: | ||
| KM2 | | KM2 | ||
| Lesser Supermajor Second | | Lesser Supermajor Second | ||
| | | E+, Fd<\, Fb++, Dx | ||
| This interval... | | This interval... | ||
* Approximates the [[256/225|Neapolitan Diminished Third]], and thus... | * Approximates the [[256/225|Neapolitan Diminished Third]], and thus... | ||
| Line 630: | Line 630: | ||
| SM2, kUM2 | | SM2, kUM2 | ||
| Greater Supermajor Second, Narrow Inframinor Third | | Greater Supermajor Second, Narrow Inframinor Third | ||
| Fd<, Et< | | Fd<, Et<ɔ, E+/ | ||
| This interval... | | This interval... | ||
* Approximates the [[8/7|Septimal Supermajor Second]] or Octave-Reduced Seventh Subharmonic, and as such... | * Approximates the [[8/7|Septimal Supermajor Second]] or Octave-Reduced Seventh Subharmonic, and as such... | ||
| Line 651: | Line 651: | ||
| um3, RkUM2 | | um3, RkUM2 | ||
| Inframinor Third, Wide Supermajor Second | | Inframinor Third, Wide Supermajor Second | ||
| Fd>, Et> | | Fd>, Et>ɔ | ||
| This interval... | | This interval... | ||
* Approximates a complex 11-limit Paradiatonic interval that functions as a syntactic third that sounds more like a second, and as such... | * Approximates a complex 11-limit Paradiatonic interval that functions as a syntactic third that sounds more like a second, and as such... | ||
| Line 669: | Line 669: | ||
| kkm3, KKM2, Rum3, rUM2 | | kkm3, KKM2, Rum3, rUM2 | ||
| Wide Inframinor Third, Narrow Ultramajor Second, Semifourth | | Wide Inframinor Third, Narrow Ultramajor Second, Semifourth | ||
| Fd>/, Et<\, | | Fd>/, Et<\, Fɔɔ, E++ | ||
| This interval... | | This interval... | ||
* Approximates the [[15/13|Tridecimal Semifourth]], and thus... | * Approximates the [[15/13|Tridecimal Semifourth]], and thus... | ||
| Line 688: | Line 688: | ||
| UM2, rKum3 | | UM2, rKum3 | ||
| Ultramajor Second, Narrow Subminor Third | | Ultramajor Second, Narrow Subminor Third | ||
| Et<, Fd< | | Et<, Fd<+ | ||
| This interval... | | This interval... | ||
* Approximates a complex 11-limit Paradiatonic interval that functions as a syntactic second that sounds more like a third, and as such... | * Approximates a complex 11-limit Paradiatonic interval that functions as a syntactic second that sounds more like a third, and as such... | ||
| Line 705: | Line 705: | ||
| sm3, Kum3 | | sm3, Kum3 | ||
| Lesser Subminor Third, Wide Ultramajor Second | | Lesser Subminor Third, Wide Ultramajor Second | ||
| Et>, Fd> | | Et>, Fd>+, Fɔ\ | ||
| This interval... | | This interval... | ||
* Approximates the [[7/6|Septimal Subminor Third]], and as such... | * Approximates the [[7/6|Septimal Subminor Third]], and as such... | ||
| Line 725: | Line 725: | ||
| km3 | | km3 | ||
| Greater Subminor Third | | Greater Subminor Third | ||
| | | Fɔ, Et>/, E#ɔɔ, Gbb | ||
| This interval... | | This interval... | ||
* Approximates the [[75/64|classic augmented second]], and as such... | * Approximates the [[75/64|classic augmented second]], and as such... | ||
| Line 745: | Line 745: | ||
| Rkm3 | | Rkm3 | ||
| Wide Subminor Third | | Wide Subminor Third | ||
| | | Fɔ/, Et<+ | ||
| This interval... | | This interval... | ||
* Approximates the [[20/17|Septendecimal Minor Third]] | * Approximates the [[20/17|Septendecimal Minor Third]] | ||
| Line 762: | Line 762: | ||
| rm3 | | rm3 | ||
| Narrow Minor Third | | Narrow Minor Third | ||
| F\, Et> | | F\, Et>+ | ||
| This interval... | | This interval... | ||
* Approximates the [[13/11|Neo-Gothic Minor Third]], and thus... | * Approximates the [[13/11|Neo-Gothic Minor Third]], and thus... | ||
| Line 817: | Line 817: | ||
| rKm3 | | rKm3 | ||
| Tendomean Minor Third | | Tendomean Minor Third | ||
| | | F+\ | ||
| This interval... | | This interval... | ||
* Approximates the [[153/128|Septendecimal Tendomean Minor Third]] | * Approximates the [[153/128|Septendecimal Tendomean Minor Third]] | ||
| Line 836: | Line 836: | ||
| Km3 | | Km3 | ||
| Ptolemaic Minor Third | | Ptolemaic Minor Third | ||
| | | F+, E# | ||
| This interval... | | This interval... | ||
* Approximates the [[6/5|Classic Minor Third]], and as such... | * Approximates the [[6/5|Classic Minor Third]], and as such... | ||
| Line 857: | Line 857: | ||
| RKm3, kn3 | | RKm3, kn3 | ||
| Wide Minor Third | | Wide Minor Third | ||
| Ft< | | Ft<ɔ, F+/, Gdb< | ||
| This interval... | | This interval... | ||
* Approximates the [[135/112|Marvelous Minor Third]], and as such... | * Approximates the [[135/112|Marvelous Minor Third]], and as such... | ||
| Line 875: | Line 875: | ||
| kN3, ud4 | | kN3, ud4 | ||
| Lesser Supraminor Third, Infra-Diminished Fourth | | Lesser Supraminor Third, Infra-Diminished Fourth | ||
| Ft> | | Ft>ɔ, Gdb> | ||
| This interval... | | This interval... | ||
* Approximates the [[40/33|Undecimal Supraminor Third]], and thus... | * Approximates the [[40/33|Undecimal Supraminor Third]], and thus... | ||
| Line 891: | Line 891: | ||
| KKm3, rn3, Rud4 | | KKm3, rn3, Rud4 | ||
| Greater Supraminor Third, Diretroptolemaic Diminished Fourth | | Greater Supraminor Third, Diretroptolemaic Diminished Fourth | ||
| Ft<\, | | Ft<\, F++, Gdb<+, Gbɔɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[39/32|Lesser Tridecimal Neutral Third]], and thus... | * Approximates the [[39/32|Lesser Tridecimal Neutral Third]], and thus... | ||
| Line 911: | Line 911: | ||
| n3, rKud4 | | n3, rKud4 | ||
| Artoneutral Third, Lesser Sub-Diminished Fourth | | Artoneutral Third, Lesser Sub-Diminished Fourth | ||
| Ft<, Gdb< | | Ft<, Gdb<+ | ||
| This interval... | | This interval... | ||
* Approximates the [[11/9|Alpharabian Artoneutral Third]], which is the traditional, low complexity Undecimal Neutral Third, and as such... | * Approximates the [[11/9|Alpharabian Artoneutral Third]], which is the traditional, low complexity Undecimal Neutral Third, and as such... | ||
| Line 934: | Line 934: | ||
| N3, sd4, Kud4 | | N3, sd4, Kud4 | ||
| Tendoneutral Third, Greater Sub-Diminished Fourth | | Tendoneutral Third, Greater Sub-Diminished Fourth | ||
| Ft>, Gdb> | | Ft>, Gdb>+ | ||
| This interval... | | This interval... | ||
* Approximates the [[27/22|Alpharabian Tendoneutral Third]] or 2nd Undecimal Neutral Third, and as such... | * Approximates the [[27/22|Alpharabian Tendoneutral Third]] or 2nd Undecimal Neutral Third, and as such... | ||
| Line 954: | Line 954: | ||
| kkM3, RN3, kd4 | | kkM3, RN3, kd4 | ||
| Lesser Submajor Third, Retroptolemaic Diminished Fourth | | Lesser Submajor Third, Retroptolemaic Diminished Fourth | ||
| Ft>/, F# | | Ft>/, F#ɔɔ, Gbɔ | ||
| This interval | | This interval | ||
* Approximates the [[16/13|Greater Tridecimal Neutral Third]] or Octave-Reduced Thirteenth Subharmonic, and as such... | * Approximates the [[16/13|Greater Tridecimal Neutral Third]] or Octave-Reduced Thirteenth Subharmonic, and as such... | ||
| Line 972: | Line 972: | ||
| Kn3, Rkd4 | | Kn3, Rkd4 | ||
| Greater Submajor Third, Artoretromean Diminished Fourth | | Greater Submajor Third, Artoretromean Diminished Fourth | ||
| Ft< | | Ft<+, Gbɔ/ | ||
| This interval... | | This interval... | ||
* Approximates the [[26/21|Tridecimal Submajor Third]] and a similar 11-limit interval that acts as the Submajor counterpart to the Undecimal Supraminor Third, and thus... | * Approximates the [[26/21|Tridecimal Submajor Third]] and a similar 11-limit interval that acts as the Submajor counterpart to the Undecimal Supraminor Third, and thus... | ||
| Line 989: | Line 989: | ||
| rkM3, KN3, rd4 | | rkM3, KN3, rd4 | ||
| Narrow Major Third, Tendoretromean Diminished Fourth | | Narrow Major Third, Tendoretromean Diminished Fourth | ||
| Ft> | | Ft>+, F#ɔ\, Gb\ | ||
| This interval... | | This interval... | ||
* Approximates the [[56/45|Marvelous Major Third]], and as such... | * Approximates the [[56/45|Marvelous Major Third]], and as such... | ||
| Line 1,008: | Line 1,008: | ||
| kM3, d4 | | kM3, d4 | ||
| Ptolemaic Major Third, Pythagorean Diminished Fourth | | Ptolemaic Major Third, Pythagorean Diminished Fourth | ||
| Gb, F# | | Gb, F#ɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[5/4|Classic Major Third]] or Octave-Reduced Fifth Harmonic, and as such... | * Approximates the [[5/4|Classic Major Third]] or Octave-Reduced Fifth Harmonic, and as such... | ||
| Line 1,032: | Line 1,032: | ||
| RkM3, Rd4 | | RkM3, Rd4 | ||
| Artomean Major Third, Artomean Diminished Fourth | | Artomean Major Third, Artomean Diminished Fourth | ||
| Gb/, F# | | Gb/, F#ɔ/ | ||
| This interval... | | This interval... | ||
* Approximates the [[64/51|Septendecimal Artomean Major Third]] | * Approximates the [[64/51|Septendecimal Artomean Major Third]] | ||
| Line 1,047: | Line 1,047: | ||
| rM3, rKd4 | | rM3, rKd4 | ||
| Tendomean Major Third, Tendomean Diminished Fourth | | Tendomean Major Third, Tendomean Diminished Fourth | ||
| F#\, | | F#\, Gb+\ | ||
| This interval... | | This interval... | ||
* Approximates the [[63/50|Quasi-Tempered Major Third]] | * Approximates the [[63/50|Quasi-Tempered Major Third]] | ||
| Line 1,066: | Line 1,066: | ||
| M3, Kd4 | | M3, Kd4 | ||
| Pythagorean Major Third, Ptolemaic Diminished Fourth | | Pythagorean Major Third, Ptolemaic Diminished Fourth | ||
| F#, | | F#, Gb+ | ||
| This interval... | | This interval... | ||
* Approximates the [[81/64|Pythagorean Major Third]], and as such... | * Approximates the [[81/64|Pythagorean Major Third]], and as such... | ||
| Line 1,088: | Line 1,088: | ||
| RM3, kUd4 | | RM3, kUd4 | ||
| Wide Major Third, Lesser Super-Diminished Fourth | | Wide Major Third, Lesser Super-Diminished Fourth | ||
| F#/, Gd< | | F#/, Gd<ɔ, Gb+/ | ||
| This interval... | | This interval... | ||
* Approximates the [[14/11|Neo-Gothic Major Third]], and thus... | * Approximates the [[14/11|Neo-Gothic Major Third]], and thus... | ||
| Line 1,107: | Line 1,107: | ||
| rKM3, RkUd4 | | rKM3, RkUd4 | ||
| Narrow Supermajor Third, Greater Super-Diminished Fourth | | Narrow Supermajor Third, Greater Super-Diminished Fourth | ||
| F# | | F#+\, Gd>ɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[51/40|Septendecimal Major Third]] | * Approximates the [[51/40|Septendecimal Major Third]] | ||
| Line 1,124: | Line 1,124: | ||
| KM3, rUd4, KKd4 | | KM3, rUd4, KKd4 | ||
| Lesser Supermajor Third, Diptolemaic Diminished Fourth | | Lesser Supermajor Third, Diptolemaic Diminished Fourth | ||
| F# | | F#+, Gd<\, Gb++ | ||
| This interval... | | This interval... | ||
* Approximates the [[32/25|Classic Diminished Fourth]], and thus... | * Approximates the [[32/25|Classic Diminished Fourth]], and thus... | ||
| Line 1,141: | Line 1,141: | ||
| SM3, kUM3, rm4, Ud4 | | SM3, kUM3, rm4, Ud4 | ||
| Greater Supermajor Third, Ultra-Diminished Fourth | | Greater Supermajor Third, Ultra-Diminished Fourth | ||
| Gd<, F# | | Gd<, F#+/ | ||
| This interval... | | This interval... | ||
* Approximates the [[9/7|Septimal Supermajor Third]], and as such... | * Approximates the [[9/7|Septimal Supermajor Third]], and as such... | ||
| Line 1,159: | Line 1,159: | ||
| m4, RkUM3 | | m4, RkUM3 | ||
| Paraminor Fourth, Wide Supermajor Third | | Paraminor Fourth, Wide Supermajor Third | ||
| Gd>, Ft#> | | Gd>, Ft#>ɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[128/99|Just Paraminor Fourth]], and as such... | * Approximates the [[128/99|Just Paraminor Fourth]], and as such... | ||
| Line 1,180: | Line 1,180: | ||
| Rm4, KKM3, rUM3 | | Rm4, KKM3, rUM3 | ||
| Wide Paraminor Fourth, Narrow Ultramajor Third | | Wide Paraminor Fourth, Narrow Ultramajor Third | ||
| Gd>/, F# | | Gd>/, F#++, Gɔɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[13/10|Tridecimal Semisixth]] | * Approximates the [[13/10|Tridecimal Semisixth]] | ||
| Line 1,196: | Line 1,196: | ||
| UM3, rKm4 | | UM3, rKm4 | ||
| Ultramajor Third, Narrow Grave Fourth | | Ultramajor Third, Narrow Grave Fourth | ||
| Gd< | | Gd<+, Ft#< | ||
| This interval... | | This interval... | ||
* Approximates a complex 11-limit Paradiatonic interval that functions as a syntactic third that sounds more like a fourth, and as such... | * Approximates a complex 11-limit Paradiatonic interval that functions as a syntactic third that sounds more like a fourth, and as such... | ||
| Line 1,214: | Line 1,214: | ||
| s4, Km4 | | s4, Km4 | ||
| Lesser Grave Fourth, Wide Ultramajor Third | | Lesser Grave Fourth, Wide Ultramajor Third | ||
| Gd> | | Gd>+, Gɔ\ | ||
| This Interval... | | This Interval... | ||
* Approximates the [[21/16|Septimal Subfourth]], and thus... | * Approximates the [[21/16|Septimal Subfourth]], and thus... | ||
| Line 1,231: | Line 1,231: | ||
| k4 | | k4 | ||
| Greater Grave Fourth | | Greater Grave Fourth | ||
| | | Gɔ | ||
| This interval... | | This interval... | ||
* Approximates a complex 5-limit interval formed by subtracting a syntonic comma from a Perfect Fourth | * Approximates a complex 5-limit interval formed by subtracting a syntonic comma from a Perfect Fourth | ||
| Line 1,246: | Line 1,246: | ||
| Rk4 | | Rk4 | ||
| Wide Grave Fourth | | Wide Grave Fourth | ||
| | | Gɔ/ | ||
| This interval... | | This interval... | ||
* Is one half of this system's approximation of the Octave-Reduced Seventh Harmonic | * Is one half of this system's approximation of the Octave-Reduced Seventh Harmonic | ||
| Line 1,326: | Line 1,326: | ||
| rK4 | | rK4 | ||
| Narrow Acute Fourth | | Narrow Acute Fourth | ||
| | | G+\ | ||
| This interval... | | This interval... | ||
* Approximates a complex 11-limit interval, which, in this system... | * Approximates a complex 11-limit interval, which, in this system... | ||
| Line 1,343: | Line 1,343: | ||
| K4 | | K4 | ||
| Lesser Acute Fourth | | Lesser Acute Fourth | ||
| | | G+ | ||
| This interval... | | This interval... | ||
* Approximates the [[27/20|Classic Acute Fourth]], and as such... | * Approximates the [[27/20|Classic Acute Fourth]], and as such... | ||
| Line 1,362: | Line 1,362: | ||
| S4, kM4 | | S4, kM4 | ||
| Greater Acute Fourth | | Greater Acute Fourth | ||
| Gt< | | Gt<ɔ, G+/, Adb< | ||
| This interval... | | This interval... | ||
* Is reachable through stacking two of this system's approximation of the Septimal Subminor Third | * Is reachable through stacking two of this system's approximation of the Septimal Subminor Third | ||
| Line 1,378: | Line 1,378: | ||
| RkM4, ud5 | | RkM4, ud5 | ||
| Wide Acute Fourth, Infra-Diminished Fifth | | Wide Acute Fourth, Infra-Diminished Fifth | ||
| Gt> | | Gt>ɔ, Adb> | ||
| This interval... | | This interval... | ||
* Approximates the [[15/11|Undecimal Grave Infra-Augmented Fourth]], and thus... | * Approximates the [[15/11|Undecimal Grave Infra-Augmented Fourth]], and thus... | ||
| Line 1,396: | Line 1,396: | ||
| rM4, Rud5 | | rM4, Rud5 | ||
| Narrow Paramajor Fourth, Diretroptolemaic Diminished Fifth | | Narrow Paramajor Fourth, Diretroptolemaic Diminished Fifth | ||
| Gt<\, | | Gt<\, G++, Abɔɔ | ||
| This interval... | | This interval... | ||
* Is reachable through stacking three of this system's approximation of the Classic Major Second....... | * Is reachable through stacking three of this system's approximation of the Classic Major Second....... | ||
| Line 1,413: | Line 1,413: | ||
| M4, rKud5 | | M4, rKud5 | ||
| Paramajor Fourth, Lesser Sub-Diminished Fifth | | Paramajor Fourth, Lesser Sub-Diminished Fifth | ||
| Gt<, Adb< | | Gt<, Adb<+ | ||
| This interval... | | This interval... | ||
* Approximates the [[11/8|Just Paramajor Fourth]], and as such... | * Approximates the [[11/8|Just Paramajor Fourth]], and as such... | ||
| Line 1,437: | Line 1,437: | ||
| RM4, uA4, Kud5 | | RM4, uA4, Kud5 | ||
| Infra-Augmented Fourth, Greater Sub-Diminished Fifth | | Infra-Augmented Fourth, Greater Sub-Diminished Fifth | ||
| Gt>, Adb> | | Gt>, Adb>+ | ||
| This interval... | | This interval... | ||
* Approximates the [[112/81|Septimal Subdiminished Fifth]], and thus... | * Approximates the [[112/81|Septimal Subdiminished Fifth]], and thus... | ||
| Line 1,455: | Line 1,455: | ||
| kkA4, RuA4, kd5 | | kkA4, RuA4, kd5 | ||
| Diptolemaic Augmented Fourth, Retroptolemaic Diminished Fifth | | Diptolemaic Augmented Fourth, Retroptolemaic Diminished Fifth | ||
| G# | | G#ɔɔ, Abɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[25/18|Classic Augmented Fourth]], and thus... | * Approximates the [[25/18|Classic Augmented Fourth]], and thus... | ||
| Line 1,475: | Line 1,475: | ||
| rKuA4, Rkd5 | | rKuA4, Rkd5 | ||
| Lesser Sub-Augmented Fourth, Artoretromean Diminished Fifth | | Lesser Sub-Augmented Fourth, Artoretromean Diminished Fifth | ||
| Gt< | | Gt<+, Abɔ/ | ||
| This interval... | | This interval... | ||
* Approximates a complex 11-limit interval formed by stacking a Syntonic Comma on top of a Paramajor Fourth, and thus... | * Approximates a complex 11-limit interval formed by stacking a Syntonic Comma on top of a Paramajor Fourth, and thus... | ||
| Line 1,491: | Line 1,491: | ||
| KuA4, rd5 | | KuA4, rd5 | ||
| Greater Sub-Augmented Fourth, Tendoretromean Diminished Fifth | | Greater Sub-Augmented Fourth, Tendoretromean Diminished Fifth | ||
| Gt> | | Gt>+, Ab\ | ||
| This interval... | | This interval... | ||
* Approximates the [[7/5|Lesser Septimal Tritone]] and thus... | * Approximates the [[7/5|Lesser Septimal Tritone]] and thus... | ||
| Line 1,508: | Line 1,508: | ||
| kA4, d5 | | kA4, d5 | ||
| Ptolemaic Augmented Fourth, Pythagorean Diminished Fifth | | Ptolemaic Augmented Fourth, Pythagorean Diminished Fifth | ||
| Ab, G# | | Ab, G#ɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[45/32|Smaller Diatonic Tritone]], and as such... | * Approximates the [[45/32|Smaller Diatonic Tritone]], and as such... | ||
| Line 1,526: | Line 1,526: | ||
| RkA4, Rd5 | | RkA4, Rd5 | ||
| Artomean Augmented Fourth, Artomean Diminished Fifth | | Artomean Augmented Fourth, Artomean Diminished Fifth | ||
| G# | | G#ɔ/, Ab/ | ||
| This interval... | | This interval... | ||
* Approximates the [[24/17|Smaller Septendecimal Tritone]], and thus... | * Approximates the [[24/17|Smaller Septendecimal Tritone]], and thus... | ||
| Line 1,544: | Line 1,544: | ||
| rKd5, rA4 | | rKd5, rA4 | ||
| Tendomean Diminished Fifth, Tendomean Augmented Fourth | | Tendomean Diminished Fifth, Tendomean Augmented Fourth | ||
| | | Ab+\, G#\ | ||
| This interval... | | This interval... | ||
* Approximates the [[17/12|Larger Septendecimal Tritone]], and thus... | * Approximates the [[17/12|Larger Septendecimal Tritone]], and thus... | ||
| Line 1,562: | Line 1,562: | ||
| Kd5, A4 | | Kd5, A4 | ||
| Ptolemaic Diminished Fifth, Pythagorean Augmented Fourth | | Ptolemaic Diminished Fifth, Pythagorean Augmented Fourth | ||
| | | Ab+, G# | ||
| This interval... | | This interval... | ||
* Approximates the [[64/45|Larger Diatonic Tritone]], and as such... | * Approximates the [[64/45|Larger Diatonic Tritone]], and as such... | ||
| Line 1,580: | Line 1,580: | ||
| kUd5, RA4 | | kUd5, RA4 | ||
| Lesser Super-Diminished Fifth, Artoretromean Augmented Fourth | | Lesser Super-Diminished Fifth, Artoretromean Augmented Fourth | ||
| Ad< | | Ad<ɔ, G#/ | ||
| This interval... | | This interval... | ||
* Approximates the [[10/7|Greater Septimal Tritone]] and thus... | * Approximates the [[10/7|Greater Septimal Tritone]] and thus... | ||
| Line 1,597: | Line 1,597: | ||
| RkUd5, rKA4 | | RkUd5, rKA4 | ||
| Greater Super-Diminished Fifth, Tendoretromean Augmented Fourth | | Greater Super-Diminished Fifth, Tendoretromean Augmented Fourth | ||
| Ad> | | Ad>ɔ, G#+\ | ||
| This interval... | | This interval... | ||
* Approximates a complex 11-limit interval formed by subtracting a Syntonic Comma from a Paraminor Fifth, and thus... | * Approximates a complex 11-limit interval formed by subtracting a Syntonic Comma from a Paraminor Fifth, and thus... | ||
| Line 1,613: | Line 1,613: | ||
| KKd5, rUDd5, KA4 | | KKd5, rUDd5, KA4 | ||
| Diptolemaic Diminished Fifth, Retroptolemaic Augmented Fourth | | Diptolemaic Diminished Fifth, Retroptolemaic Augmented Fourth | ||
| | | Ab++, G#+ | ||
| This interval... | | This interval... | ||
* Approximates the [[36/25|Classic Diminished Fifth]], and thus... | * Approximates the [[36/25|Classic Diminished Fifth]], and thus... | ||
| Line 1,633: | Line 1,633: | ||
| rm5, Ud5, kUA4 | | rm5, Ud5, kUA4 | ||
| Ultra-Diminished Fifth, Lesser Super-Augmented Fourth | | Ultra-Diminished Fifth, Lesser Super-Augmented Fourth | ||
| Ad<, Gt#< | | Ad<, Gt#<ɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[81/56|Septimal Superaugmented Fourth]], and thus... | * Approximates the [[81/56|Septimal Superaugmented Fourth]], and thus... | ||
| Line 1,650: | Line 1,650: | ||
| m5, RkUA4 | | m5, RkUA4 | ||
| Paraminor Fifth, Greater Super-Augmented Fourth | | Paraminor Fifth, Greater Super-Augmented Fourth | ||
| Ad>, Gt#> | | Ad>, Gt#>ɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[16/11|Just Paraminor Fifth]], and as such... | * Approximates the [[16/11|Just Paraminor Fifth]], and as such... | ||
| Line 1,674: | Line 1,674: | ||
| Rm5, rUA4 | | Rm5, rUA4 | ||
| Wide Paraminor Fifth, Diretroptolemaic Augmented Fourth | | Wide Paraminor Fifth, Diretroptolemaic Augmented Fourth | ||
| Ad<\, G# | | Ad<\, G#+, Ab++ | ||
| This interval... | | This interval... | ||
* Is reachable through stacking three of this system's approximation of the Septendecimal Whole Tone | * Is reachable through stacking three of this system's approximation of the Septendecimal Whole Tone | ||
| Line 1,691: | Line 1,691: | ||
| rKm5, UA4 | | rKm5, UA4 | ||
| Narrow Grave Fifth, Ultra-Augmented Fourth | | Narrow Grave Fifth, Ultra-Augmented Fourth | ||
| Ad< | | Ad<+, Gt#< | ||
| This interval... | | This interval... | ||
* Approximates the [[22/15|Undecimal Acute Ultra-Diminished Fifth]], and thus... | * Approximates the [[22/15|Undecimal Acute Ultra-Diminished Fifth]], and thus... | ||
| Line 1,709: | Line 1,709: | ||
| s5, Km5 | | s5, Km5 | ||
| Lesser Grave Fifth | | Lesser Grave Fifth | ||
| Ad> | | Ad>+, Aɔ\, Gt#> | ||
| This interval... | | This interval... | ||
* Is reachable through stacking four of this system's approximation of the Werckismic Subfourth and octave-reducing | * Is reachable through stacking four of this system's approximation of the Werckismic Subfourth and octave-reducing | ||
| Line 1,724: | Line 1,724: | ||
| k5 | | k5 | ||
| Greater Grave Fifth | | Greater Grave Fifth | ||
| | | Aɔ | ||
| This interval... | | This interval... | ||
* Approximates the [[40/27|Classic Grave Fifth]], and as such... | * Approximates the [[40/27|Classic Grave Fifth]], and as such... | ||
| Line 1,743: | Line 1,743: | ||
| Rk5 | | Rk5 | ||
| Wide Grave Fifth | | Wide Grave Fifth | ||
| | | Aɔ/ | ||
| This interval... | | This interval... | ||
* Approximates a complex 11-limit interval, which, in this system... | * Approximates a complex 11-limit interval, which, in this system... | ||
| Line 1,826: | Line 1,826: | ||
| rK5 | | rK5 | ||
| Narrow Acute Fifth | | Narrow Acute Fifth | ||
| | | A+\ | ||
| This interval... | | This interval... | ||
* Is reachable through stacking five of this system's approximation of the 2nd Undecimal Neutral Second | * Is reachable through stacking five of this system's approximation of the 2nd Undecimal Neutral Second | ||
| Line 1,842: | Line 1,842: | ||
| K5 | | K5 | ||
| Lesser Acute Fifth | | Lesser Acute Fifth | ||
| | | A+ | ||
| This interval... | | This interval... | ||
* Approximates a complex 5-limit interval formed by stacking a syntonic comma on top of a Perfect Fifth | * Approximates a complex 5-limit interval formed by stacking a syntonic comma on top of a Perfect Fifth | ||