159edo/Interval names and harmonies: Difference between revisions

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Line 121: Line 121:
| Wide Inframinor Second, Narrow Ultraprime
| Wide Inframinor Second, Narrow Ultraprime
| Eb↓↓, Dt<\
| Eb↓↓, Dt<\
| -4
| -3
| 5
| 5
| This interval…
| This interval…
Line 140: Line 140:
| Ultraprime, Narrow Subminor Second
| Ultraprime, Narrow Subminor Second
| Dt<, Edb<↑
| Dt<, Edb<↑
| -4
| -3
| 5
| 5
| This interval…
| This interval…
Line 161: Line 161:
| Lesser Subminor Second, Wide Ultraprime, Infra-Augmented Prime
| Lesser Subminor Second, Wide Ultraprime, Infra-Augmented Prime
| Dt>, Eb↓\
| Dt>, Eb↓\
|
| -2
|
| 5
| This interval…  
| This interval…  
* Approximates the [[28/27|Septimal Subminor Second]], and thus…
* Approximates the [[28/27|Septimal Subminor Second]], and thus…
Line 179: Line 179:
| Greater Subminor Second, Diptolemaic Augmented Prime
| Greater Subminor Second, Diptolemaic Augmented Prime
| Eb↓, D#↓↓
| Eb↓, D#↓↓
|
| -2
|
| 5
| 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 194: Line 194:
| Wide Subminor Second, Lesser Sub-Augmented Prime
| Wide Subminor Second, Lesser Sub-Augmented Prime
| Eb↓/, Dt<↑
| Eb↓/, Dt<↑
|
| -1
|
| 5
| 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 209: Line 209:
| Narrow Minor Second, Greater Sub-Augmented Prime
| Narrow Minor Second, Greater Sub-Augmented Prime
| Eb\, Dt>↑
| Eb\, Dt>↑
|
| -1
|
| 5
| This interval…  
| This interval…  
* Approximates the [[21/20|Septimal Minor Semitone]], and thus…  
* Approximates the [[21/20|Septimal Minor Semitone]], and thus…  
Line 223: Line 223:
| Pythagorean Minor Second, Ptolemaic Augmented Prime
| Pythagorean Minor Second, Ptolemaic Augmented Prime
| Eb, D#↓
| Eb, D#↓
|
| 0
|
| 5
| 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 244: Line 244:
| Artomean Minor Second, Artomean Augmented Prime  
| Artomean Minor Second, Artomean Augmented Prime  
| Eb/, D#↓/
| Eb/, D#↓/
|
| 0
|
| 5
| This interval…  
| This interval…  
* Approximates the [[18/17|Small Septendecimal Semitone]], and thus…
* Approximates the [[18/17|Small Septendecimal Semitone]], and thus…
Line 260: Line 260:
| Tendomean Minor Second, Tendomean Augmented Prime  
| Tendomean Minor Second, Tendomean Augmented Prime  
| D#\, Eb↑\
| D#\, Eb↑\
|
| 1
|
| 5
| 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 276: Line 276:
| Ptolemaic Minor Second, Pythagorean Augmented Prime
| Ptolemaic Minor Second, Pythagorean Augmented Prime
| D#, Eb↑
| D#, Eb↑
|
| 1
|
| 5
| 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 297: Line 297:
| Wide Minor Second, Artoretromean Augmented Prime
| Wide Minor Second, Artoretromean Augmented Prime
| Ed<↓, Eb↑/, D#/
| Ed<↓, Eb↑/, D#/
|
| 1
|
| 5
| This interval…
| This interval…
* Approximates the [[15/14|Septimal Major Semitone]], and thus…
* Approximates the [[15/14|Septimal Major Semitone]], and thus…
Line 311: Line 311:
| Lesser Supraminor Second, Tendoretromean Augmented Prime
| Lesser Supraminor Second, Tendoretromean Augmented Prime
| Ed>↓, D#↑\
| Ed>↓, D#↑\
|
| 0
|
| 4
| 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…