The Exciting Universe Of Music Theory

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The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks *imperfect* tones that do not have a tone a fifth above.

Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

- Zeitler
- Gyritonic

Cardinality | 5 (pentatonic) |
---|---|

Pitch Class Set | {0,1,2,5,8} |

Forte Number | 5-Z38 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 3217 |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 4 |

Prime? | yes |

Deep Scale | no |

Interval Vector | 212221 |

Interval Spectrum | p^{2}m^{2}n^{2}sd^{2}t |

Distribution Spectra | <1> = {1,3,4} <2> = {2,4,5,6,7} <3> = {5,6,7,8,10} <4> = {8,9,11} |

Spectra Variation | 3.2 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 295 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 2195 | Zalitonic | ||||

3rd mode: Scale 3145 | Stolitonic | ||||

4th mode: Scale 905 | Bylitonic | ||||

5th mode: Scale 625 | Ionyptitonic |

This is the prime form of this scale.

The pentatonic modal family [295, 2195, 3145, 905, 625] (Forte: 5-Z38) is the complement of the heptatonic modal family [439, 1763, 1819, 2267, 2929, 2957, 3181] (Forte: 7-Z38)

The inverse of a scale is a reflection using the root as its axis. The inverse of 295 is 3217

Scale 3217 | Molitonic |

Only scales that are chiral will have an enantiomorph. Scale 295 is chiral, and its enantiomorph is scale 3217

Scale 3217 | Molitonic |

T_{0} | 295 | T_{0}I | 3217 | |||||

T_{1} | 590 | T_{1}I | 2339 | |||||

T_{2} | 1180 | T_{2}I | 583 | |||||

T_{3} | 2360 | T_{3}I | 1166 | |||||

T_{4} | 625 | T_{4}I | 2332 | |||||

T_{5} | 1250 | T_{5}I | 569 | |||||

T_{6} | 2500 | T_{6}I | 1138 | |||||

T_{7} | 905 | T_{7}I | 2276 | |||||

T_{8} | 1810 | T_{8}I | 457 | |||||

T_{9} | 3620 | T_{9}I | 914 | |||||

T_{10} | 3145 | T_{10}I | 1828 | |||||

T_{11} | 2195 | T_{11}I | 3656 |

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 293 | Raga Haripriya | |||

Scale 291 | Raga Lavangi | |||

Scale 299 | Raga Chitthakarshini | |||

Scale 303 | Golimic | |||

Scale 311 | Stagimic | |||

Scale 263 | ||||

Scale 279 | Poditonic | |||

Scale 327 | Syptitonic | |||

Scale 359 | Bothimic | |||

Scale 423 | Sogimic | |||

Scale 39 | ||||

Scale 167 | ||||

Scale 551 | Aeoloditonic | |||

Scale 807 | Raga Suddha Mukhari | |||

Scale 1319 | Phronimic | |||

Scale 2343 | Tharimic |

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Bibliography