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- Zeitler
- Zalitonic

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

Pitch Class Set | {0,1,4,7,11} |

Forte Number | 5-Z38 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2339 |

Hemitonia | 2 (dihemitonic) |

Cohemitonia | 1 (uncohemitonic) |

Imperfections | 3 |

Modes | 4 |

Prime? | no prime: 295 |

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 2195 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 3145 | Stolitonic | ||||

3rd mode: Scale 905 | Bylitonic | ||||

4th mode: Scale 625 | Ionyptitonic | ||||

5th mode: Scale 295 | Gyritonic | This is the prime mode |

The prime form of this scale is Scale 295

Scale 295 | Gyritonic |

The pentatonic modal family [2195, 3145, 905, 625, 295] (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 2195 is 2339

Scale 2339 | Raga Kshanika |

Only scales that are chiral will have an enantiomorph. Scale 2195 is chiral, and its enantiomorph is scale 2339

Scale 2339 | Raga Kshanika |

T_{0} | 2195 | T_{0}I | 2339 | |||||

T_{1} | 295 | T_{1}I | 583 | |||||

T_{2} | 590 | T_{2}I | 1166 | |||||

T_{3} | 1180 | T_{3}I | 2332 | |||||

T_{4} | 2360 | T_{4}I | 569 | |||||

T_{5} | 625 | T_{5}I | 1138 | |||||

T_{6} | 1250 | T_{6}I | 2276 | |||||

T_{7} | 2500 | T_{7}I | 457 | |||||

T_{8} | 905 | T_{8}I | 914 | |||||

T_{9} | 1810 | T_{9}I | 1828 | |||||

T_{10} | 3620 | T_{10}I | 3656 | |||||

T_{11} | 3145 | T_{11}I | 3217 |

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 2193 | Thaptic | |||

Scale 2197 | Raga Hamsadhvani | |||

Scale 2199 | Dyptimic | |||

Scale 2203 | Dorimic | |||

Scale 2179 | ||||

Scale 2187 | Ionothitonic | |||

Scale 2211 | Raga Gauri | |||

Scale 2227 | Raga Gaula | |||

Scale 2259 | Raga Mandari | |||

Scale 2067 | ||||

Scale 2131 | ||||

Scale 2323 | Doptitonic | |||

Scale 2451 | Raga Bauli | |||

Scale 2707 | Banimic | |||

Scale 3219 | Ionaphimic | |||

Scale 147 | ||||

Scale 1171 | Raga Manaranjani I |

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