presents more than you ever wanted to know about...

*i* = imperfections

Tones | 4 (tetratonic) |
---|---|

Pitch Class Set | {0,2,5,7} |

Forte Number | 4-23 |

Rotational Symmetry | none |

Palindromic | no |

Hemitonia | 0 (anhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 1 |

Modes | 3 |

Prime? | yes |

Chirality | no |

Deep Scale | no |

Interval Vector | 021030 |

Interval Spectrum | p^{3}ns^{2} |

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

Spectra Variation | 2 |

Myhill Property | no |

Balanced | no |

Coherence | no |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 165 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode: Scale 1065 | |||||

3rd mode: Scale 645 | |||||

4th mode: Scale 1185 | Genus Primum Inverse |

This is the prime form of this scale.

The tetratonic modal family [165, 1065, 645, 1185] is the negative of the octatonic modal family [1455, 1515, 1725, 1965, 2775, 2805, 3435, 3765]

The inverse of a scale is a reflection using the root as its axis. The inverse of 165 is 1185

Scale 1185 | Genus Primum Inverse |

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 167 | ||||

Scale 161 | Raga Sarvasri | |||

Scale 163 | ||||

Scale 169 | Vietnamese tetratonic | |||

Scale 173 | Raga Purnalalita | |||

Scale 181 | Raga Budhamanohari | |||

Scale 133 | ||||

Scale 149 | Eskimo tetratonic | |||

Scale 197 | ||||

Scale 229 | ||||

Scale 37 | ||||

Scale 101 | ||||

Scale 293 | Raga Haripriya | |||

Scale 421 | Han-kumoi | |||

Scale 677 | Scottish Pentatonic | |||

Scale 1189 | Suspended Pentatonic | |||

Scale 2213 | Raga Desh |

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