22edo/Unque's compositional approach: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
Re-formatted tables for consistency; re-added notation for 5L 2s and 5L 7s |
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=== 5L 2s === | === 5L 2s === | ||
The [[5L 2s]] scale is one of two types of Diatonic scales represented in 22edo, and represents the shade of Diatonic popularized by the Greek mathematician Archytas, which uses the 2.3.7 subgroup of Just Intonation. It is generated by the Circle of Fifths just as in common practice tunings, though the perfect fifth of 22edo is significantly sharper than any tuning attested in common practice, which makes the scale and its chords behave somewhat differently from standard Diatonic functionality. Notably, suspended chords feel less tense and more restful, while typical tertian triads tend to sound tenser and more energetic; this is the opposite of how these chords behave in Meantone tunings, and as such Western music translated into 22edo's Diatonic may sound strange if it is not adjusted to account for its unique properties. | The [[5L 2s]] scale is one of two types of Diatonic scales represented in 22edo, and represents the shade of Diatonic popularized by the Greek mathematician Archytas, which uses the 2.3.7 subgroup of Just Intonation. It is generated by the Circle of Fifths just as in common practice tunings, though the perfect fifth of 22edo is significantly sharper than any tuning attested in common practice, which makes the scale and its chords behave somewhat differently from standard Diatonic functionality. Notably, suspended chords feel less tense and more restful, while typical tertian triads tend to sound tenser and more energetic; this is the opposite of how these chords behave in Meantone tunings, and as such Western music translated into 22edo's Diatonic may sound strange if it is not adjusted to account for its unique properties. | ||
{ | |||
{| class="wikitable" | |||
|+ style="font-size: 105%;" | Modes of 5L 2s | |||
|- | |||
! UDP | |||
! Step Pattern | |||
! Notation | |||
! Name | |||
|- | |||
| 6{{pipe}}0 | |||
| LLLsLLs | |||
| C - D - E - F♯ - G - A - B - C | |||
| Lydian | |||
|- | |||
| 5{{pipe}}1 | |||
| LLsLLLs | |||
| C - D - E - F - G - A - B - C | |||
| Ionian | |||
|- | |||
| 4{{pipe}}2 | |||
| LLsLLsL | |||
| C - D - E - F - G - A - B♭ - C | |||
| Mixolydian | |||
|- | |||
| 3{{pipe}}3 | |||
| LsLLLsL | |||
| C - D - E♭ - F - G - A - B♭ - C | |||
| Dorian | |||
|- | |||
| 2{{pipe}}4 | |||
| LsLLsLL | |||
| C - D - E♭ - F - G - A♭ - B♭ - C | |||
| Aeolian | |||
|- | |||
| 1{{pipe}}5 | |||
| sLLLsLL | |||
| C - D♭ - E♭ - F - G - A♭ - B♭ - C | |||
| Phrygian | |||
|- | |||
| 0{{pipe}}6 | |||
| sLLsLLL | |||
| C - D♭ - E♭ - F - G♭ - A♭ - B♭ - C | |||
| Locrian | |||
|} | |||
=== 5L 7s === | === 5L 7s === | ||
The [[5L 7s]] scale is an extension of 5L 2s created by continuing the generator sequence. Because the Circle of Fifths is bidirectional, the seven modes can be extended either by continuing the sequence upwards or downwards; those created by going up the chain are called grave modes, and those extended by going down the chain are called acute modes. | The [[5L 7s]] scale is an extension of 5L 2s created by continuing the generator sequence. Because the Circle of Fifths is bidirectional, the seven modes can be extended either by continuing the sequence upwards or downwards; those created by going up the chain are called grave modes, and those extended by going down the chain are called acute modes. | ||
{ | {| class="wikitable" | ||
|+ style="font-size: 105%;" | Modes of 5L 7s | |||
|- | |||
! UDP | |||
! Step Pattern | |||
! Notation | |||
! Name | |||
! Notes | |||
|- | |||
| 11{{pipe}}0 | |||
| LsLsLssLsLss | |||
| C - C♯ - D - D♯ - E - E♯ - F♯ - G - G♯ - A - A♯ - B - C | |||
| Grave Lydian | |||
| Like the seven-note Lydian, lacks a Perfect Fourth over the root. | |||
|- | |||
| 10{{pipe}}1 | |||
| LsLssLsLsLss | |||
| C - C♯ - D - D♯ - E - F - F♯ - G - G♯ - A - A♯ - B - C | |||
| Grave Ionian | |||
| | |||
|- | |||
| 9{{pipe}}2 | |||
| LsLssLsLssLs | |||
| C - C♯ - D - D♯ - E - F - F♯ - G - G♯ - A - B♭ - B - C | |||
| Grave Mixolydian | |||
| | |||
|- | |||
| 8{{pipe}}3 | |||
| LssLsLsLssLs | |||
| C - C♯ - D - E♭ - E - F - F♯ - G - G♯ - A - B♭ - B - C | |||
| Grave Dorian | |||
| | |||
|- | |||
| 7{{pipe}}4 | |||
| LssLsLssLsLs | |||
| C - C♯ - D - E♭ - E - F - F♯ - G - A♭ - A - B♭ - B - C | |||
| Grave Aeolian | |||
| | |||
|- | |||
| 6{{pipe}}5 | |||
| sLsLsLssLsLs | |||
| C - D♭ - D - E♭ - E - F - F♯ - G - A♭ - A - B♭ - B - C | |||
| Grave Phrygian | |||
| Also accounts for Acute Lydian | |||
|- | |||
| 5{{pipe}}6 | |||
| sLsLssLsLsLs | |||
| C - D♭ - D - E♭ - E - F - G♭ - G - A♭ - A - B♭ - B - C | |||
| Acute Ionian | |||
| Also accounts for Grave Locrian | |||
|- | |||
| 4{{pipe}}7 | |||
| sLsLssLsLssL | |||
| C - D♭ - D - E♭ - E - F - G♭ - G - A♭ - A - B♭ - C♭ - C | |||
| Acute Mixolydian | |||
| | |||
|- | |||
| 3{{pipe}}8 | |||
| sLssLsLsLssL | |||
| C - D♭ - D - E♭ - F♭ - F - G♭ - G - A♭ - A - B♭ - C♭ - C | |||
| Acute Dorian | |||
| | |||
|- | |||
| 2{{pipe}}9 | |||
| sLssLsLssLsL | |||
| C - D♭ - D - E♭ - F♭ - F - G♭ - G - A♭ - B𝄫 - B♭ - C♭ - C | |||
| Acute Aeolian | |||
| | |||
|- | |||
| 1{{pipe}}10 | |||
| ssLsLsLssLsL | |||
| C - D♭ - E𝄫 - E♭ - F♭ - F - G♭ - G - A♭ - B𝄫 - B♭ - C♭ - C | |||
| Acute Phrygian | |||
| | |||
|- | |||
| 0{{pipe}}11 | |||
| ssLsLssLsLsL | |||
| C - D♭ - E𝄫 - E♭ - F♭ - F - G♭ - A𝄫 - A♭ - B𝄫 - B♭ - C♭ - C | |||
| Acute Locrian | |||
| Like the seven-note Locrian, lacks a Perfect Fifth over the root. | |||
|} | |||
=== 3L 2M 2s === | === 3L 2M 2s === | ||