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. Dotted lines indicate axes of symmetry.

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).

- Carnatic Raga
- Raga Gandharavam

- Unknown / Unsorted
- Sabai silt

- Zeitler
- Sarimic

Cardinality | 6 (hexatonic) |
---|---|

Pitch Class Set | {0,1,3,5,7,10} |

Forte Number | 6-33 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2725 |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 2 |

Modes | 5 |

Prime? | no prime: 685 |

Deep Scale | no |

Interval Vector | 143241 |

Interval Spectrum | p^{4}m^{2}n^{3}s^{4}dt |

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

Spectra Variation | 1.667 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Proper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1195 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode: Scale 2645 | Raga Mruganandana | ||||

3rd mode: Scale 1685 | Zeracrimic | ||||

4th mode: Scale 1445 | Raga Navamanohari | ||||

5th mode: Scale 1385 | Phracrimic | ||||

6th mode: Scale 685 | Raga Suddha Bangala | This is the prime mode |

The prime form of this scale is Scale 685

Scale 685 | Raga Suddha Bangala |

The hexatonic modal family [1195, 2645, 1685, 1445, 1385, 685] (Forte: 6-33) is the complement of the hexatonic modal family [685, 1195, 1385, 1445, 1685, 2645] (Forte: 6-33)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1195 is 2725

Scale 2725 | Raga Nagagandhari |

Only scales that are chiral will have an enantiomorph. Scale 1195 is chiral, and its enantiomorph is scale 2725

Scale 2725 | Raga Nagagandhari |

T_{0} | 1195 | T_{0}I | 2725 | |||||

T_{1} | 2390 | T_{1}I | 1355 | |||||

T_{2} | 685 | T_{2}I | 2710 | |||||

T_{3} | 1370 | T_{3}I | 1325 | |||||

T_{4} | 2740 | T_{4}I | 2650 | |||||

T_{5} | 1385 | T_{5}I | 1205 | |||||

T_{6} | 2770 | T_{6}I | 2410 | |||||

T_{7} | 1445 | T_{7}I | 725 | |||||

T_{8} | 2890 | T_{8}I | 1450 | |||||

T_{9} | 1685 | T_{9}I | 2900 | |||||

T_{10} | 3370 | T_{10}I | 1705 | |||||

T_{11} | 2645 | T_{11}I | 3410 |

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 1193 | Minor Pentatonic | |||

Scale 1197 | Minor Hexatonic | |||

Scale 1199 | Magian | |||

Scale 1187 | Kokin-joshi | |||

Scale 1191 | Pyrimic | |||

Scale 1203 | Pagimic | |||

Scale 1211 | Zadian | |||

Scale 1163 | Raga Rukmangi | |||

Scale 1179 | Sonimic | |||

Scale 1227 | Thacrimic | |||

Scale 1259 | Stadian | |||

Scale 1067 | ||||

Scale 1131 | Honchoshi Plagal Form | |||

Scale 1323 | Ritsu | |||

Scale 1451 | Phrygian | |||

Scale 1707 | Dorian Flat 2 | |||

Scale 171 | ||||

Scale 683 | Stogimic | |||

Scale 2219 | Phrydimic | |||

Scale 3243 | Mela Rupavati |

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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.