159edo/Interval names and harmonies: Difference between revisions
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| Inframinor Second, Wide Superprime | | Inframinor Second, Wide Superprime | ||
| Edb>, Dt>↓ | | Edb>, Dt>↓ | ||
| By default, this interval is a type of paradiatonic quartertone and is | | By default, this interval is a type of paradiatonic quartertone, and indeed, the [[11-limit]] ratio this interval approximates is the namesake of [[24edo]]'s own Inframinor Second; however, in a higher-fidelity system such as this, one will notice that this syntactic second is actually noticeably narrower than 24edo's quartertone. | ||
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| 6 | | 6 | ||
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| Wide Inframinor Second, Narrow Ultraprime, Semilimma | | Wide Inframinor Second, Narrow Ultraprime, Semilimma | ||
| Eb↓↓, Dt<\ | | Eb↓↓, Dt<\ | ||
| This interval is particularly likely to be used as a cross between an Ultraprime and an Inframinor Second; furthermore, as the name " | | This interval is particularly likely to be used as a cross between an Ultraprime and an Inframinor Second; furthermore, as the name "Semilimma" suggests, this interval is one half of a Pythagorean Minor Second. | ||
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| 7 | | 7 | ||
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| Ultraprime, Narrow Subminor Second | | Ultraprime, Narrow Subminor Second | ||
| Dt<, Edb<↑ | | Dt<, Edb<↑ | ||
| By default, this interval is a type of parachromatic quartertone and is thus used in much the same way as 24edo's own Ultraprime. | | By default, this interval is a type of parachromatic quartertone and is thus used in much the same way as 24edo's own Ultraprime- this really should not surprising considering that this interval represents the Al-Farabi Quartertone. | ||
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| 8 | | 8 | ||
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| Narrow Supermajor Second | | Narrow Supermajor Second | ||
| E↑\, Fd>↓ | | E↑\, Fd>↓ | ||
| This interval is of note because it is utilized in approximations of the [[17-odd-limit]]; what's more, it is also the whole tone in this system's superpyth diatonic scale. | | This interval is of note because it is utilized in approximations of the [[17-odd-limit]]; what's more, it is also the whole tone in this system's superpyth diatonic scale, and is likely the smallest interval in this system that can be used in chords without causing crowding. | ||
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| 30 | | 30 | ||
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| ? | | ? | ||
| ? | | ? | ||
| | | SM2, kUM2 | ||
| | | Greater Supermajor Second, Narrow Inframinor Third | ||
| | | Fd<, Et<↓, E↑/ | ||
| | | As the approximation of the seventh subharmonic, this interval is used accordingly- in fact, since three of these add up to a Perfect Fifth in this system, there are multiple ways this interval can be used in chords to great effect. | ||
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| 32 | | 32 | ||
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| ? | | ? | ||
| ? | | ? | ||
| | | um3, RkUM2 | ||
| | | Inframinor Third, Wide Supermajor Second | ||
| | | Fd>, Et>↓ | ||
| | | The 11-limit ratio this interval approximates is the namesake of 24edo's own Inframinor Third; however, in a higher-fidelity system such as this, one will notice that this is a syntactic third that sounds more like a second. | ||
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| 33 | | 33 | ||
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| [[15/13]] | | [[15/13]] | ||
| ? | | ? | ||
| | | kkm3, KKM2, Rum3, rUM2 | ||
| | | Wide Inframinor Third, Narrow Ultramajor Second, Semifourth | ||
| | | Fd>/, Et<\, F↓↓, E↑↑ | ||
| | | This interval is particularly likely to be used as a cross between an Ultramajor Second and an Inframinor Third; furthermore, as the name "Semifourth" suggests, this interval is one half of a Perfect Fourth, and used in exactly the same way as 24edo's own Semifourth, right down to the [[Low-complexity JI|low-complexity]] [[13-limit]] interpretation. | ||
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| 34 | | 34 | ||
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| ? | | ? | ||
| ? | | ? | ||
| | | UM2, rKum3 | ||
| | | Ultramajor Second, Narrow Subminor Third | ||
| | | Et<, Fd<↑ | ||
| | | The 11-limit ratio this interval approximates is the namesake of 24edo's own Ultramajor Second; however, in a higher-fidelity system such as this, one will notice that this is a syntactic second that sounds more like a third. | ||
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| 35 | | 35 | ||