159edo/Interval names and harmonies: Difference between revisions
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| Line 379: | Line 379: | ||
| KM2 | | KM2 | ||
| Lesser Supermajor Second | | Lesser Supermajor Second | ||
| E↑, Dx | | E↑, Fd<\, Fb↑↑, Dx | ||
| This interval can be interpreted as a type of second on the basis of it approximating the sum of the syntonic comma and the Pythagorean Major Second; it also appears in approximations of [[5-limit]] Neapolitan scales as the interval formed from stacking two Ptolemaic Minor Seconds, making it double as a type of diminished third, and is likely the smallest interval in this system that can be used in chords without causing crowding. | | This interval can be interpreted as a type of second on the basis of it approximating the sum of the syntonic comma and the Pythagorean Major Second; it also appears in approximations of [[5-limit]] Neapolitan scales as the interval formed from stacking two Ptolemaic Minor Seconds, making it double as a type of diminished third, and is likely the smallest interval in this system that can be used in chords without causing crowding. | ||
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| Line 451: | Line 451: | ||
| km3 | | km3 | ||
| Greater Subminor Third | | Greater Subminor Third | ||
| F↓, 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 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. | ||
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| Line 463: | Line 463: | ||
| Rkm3 | | Rkm3 | ||
| Wide Subminor Third | | Wide Subminor Third | ||
| This interval is utilized in approximations of the [[17-odd-limit]], courtesy of acting as the [[fourth complement]] to the Narrow Supermajor Second. | | F↓/, Et<↑ | ||
| This interval is utilized in approximations of the [[17-odd-limit]], courtesy of acting as the [[fourth complement]] to the Narrow Supermajor Second. | |||
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| 38 | | 38 | ||