15edo: Difference between revisions
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=== Porcupine Notation (Heptatonic) === | === Porcupine Notation (Heptatonic) === | ||
[ | Porcupine notation can be based on the Porcupine[7] Lssssss scale using standard notation. By representing the 3|3 mode (sssLsss) with D E F G A B C D and using sharps and flats (#/b) to represent a step up or down respectively, 15edo can be notated in a similar fashion to the diatonic scale. Its intervals can likewise be named with respect to diatonic intervals. | ||
{| class="wikitable" | |||
|- | |||
| | Cents | |||
| | Interval Name(s) | |||
| | Note name(s) | |||
|- | |||
| | 80 | |||
| | Augmented Unison / Minor Second | |||
| | D# / Eb | |||
|- | |||
| | 160 | |||
| | Major Second | |||
| | E | |||
|- | |||
| | 240 | |||
| | Augmented Second / Diminished Third | |||
| | E# / Fb | |||
|- | |||
| | 320 | |||
| | Minor Third | |||
| | F | |||
|- | |||
| | 400 | |||
| | Major Third / Diminished Fourth | |||
| | F# / Gb | |||
|- | |||
| | 480 | |||
| | Perfect Fourth | |||
| | G | |||
|- | |||
| | 560 | |||
| | Augmented Fourth | |||
| | G# | |||
|- | |||
| | 640 | |||
| | Diminished Fifth | |||
| | Ab | |||
|- | |||
| | 720 | |||
| | Perfect Fifth | |||
| | A | |||
|- | |||
| | 800 | |||
| | Augmented Fifth / Minor Sixth | |||
| | A# / Bb | |||
|- | |||
| | 880 | |||
| | Major Sixth | |||
| | B | |||
|- | |||
| | 960 | |||
| | Augmented Sixth / Diminished Seventh | |||
| | B# / Cb | |||
|- | |||
| | 1040 | |||
| | Minor Seventh | |||
| | C | |||
|- | |||
| | 1120 | |||
| | Major Seventh / Diminished Octave | |||
| | C# / Db | |||
|- | |||
| | 1200 | |||
| | Octave | |||
| | D | |||
|} | |||
One neat thing about using this notation system is that its notated major scale, D E F# G A B C# D, directly corresponds to 15edo’s LH Nice-Ionian scale. | |||
=== Porcupine Notation (Octatonic) === | === Porcupine Notation (Octatonic) === | ||
Porcupine notation can also be based on the porcupine[8] LLLLLLLs scale using eight nominals: α β χ δ ε φ γ η. Others have proposed ABCDEFGHA, but conflicts with european notation have caused many to reject this approach. Thus greek letters can be used in their place with a close resemblance to the spelling of ABCDEFGHA. The letters are not in greek alphabetic order. | Porcupine notation can also be based on the porcupine[8] LLLLLLLs scale using eight nominals: α β χ δ ε φ γ η. Others have proposed ABCDEFGHA, but conflicts with european notation have caused many to reject this approach. Thus greek letters can be used in their place with a close resemblance to the spelling of ABCDEFGHA. The letters are not in greek alphabetic order. | ||