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 Manaranjani I

- Zeitler
- Loptitonic

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

Pitch Class Set | {0,1,4,7,10} |

Forte Number | 5-31 |

Rotational Symmetry | none |

Reflection Axes | none |

Palindromic | no |

Chirality | yes enantiomorph: 2341 |

Hemitonia | 1 (unhemitonic) |

Cohemitonia | 0 (ancohemitonic) |

Imperfections | 4 |

Modes | 4 |

Prime? | no prime: 587 |

Deep Scale | no |

Interval Vector | 114112 |

Interval Spectrum | pmn^{4}sdt^{2} |

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

Spectra Variation | 2 |

Maximally Even | no |

Myhill Property | no |

Balanced | no |

Ridge Tones | none |

Propriety | Proper |

Heliotonic | no |

Modes are the rotational transformation of this scale. Scale 1171 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode: Scale 2633 | Mixitonic | ||||

3rd mode: Scale 841 | Phrothitonic | ||||

4th mode: Scale 617 | Katycritonic | ||||

5th mode: Scale 589 | Ionalitonic |

The prime form of this scale is Scale 587

Scale 587 | Pathitonic |

The pentatonic modal family [1171, 2633, 841, 617, 589] (Forte: 5-31) is the complement of the heptatonic modal family [731, 1627, 1739, 1753, 2413, 2861, 2917] (Forte: 7-31)

The inverse of a scale is a reflection using the root as its axis. The inverse of 1171 is 2341

Scale 2341 | Raga Priyadharshini |

Only scales that are chiral will have an enantiomorph. Scale 1171 is chiral, and its enantiomorph is scale 2341

Scale 2341 | Raga Priyadharshini |

T_{0} | 1171 | T_{0}I | 2341 | |||||

T_{1} | 2342 | T_{1}I | 587 | |||||

T_{2} | 589 | T_{2}I | 1174 | |||||

T_{3} | 1178 | T_{3}I | 2348 | |||||

T_{4} | 2356 | T_{4}I | 601 | |||||

T_{5} | 617 | T_{5}I | 1202 | |||||

T_{6} | 1234 | T_{6}I | 2404 | |||||

T_{7} | 2468 | T_{7}I | 713 | |||||

T_{8} | 841 | T_{8}I | 1426 | |||||

T_{9} | 1682 | T_{9}I | 2852 | |||||

T_{10} | 3364 | T_{10}I | 1609 | |||||

T_{11} | 2633 | T_{11}I | 3218 |

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 1169 | Raga Mahathi | |||

Scale 1173 | Dominant Pentatonic | |||

Scale 1175 | Epycrimic | |||

Scale 1179 | Sonimic | |||

Scale 1155 | ||||

Scale 1163 | Raga Rukmangi | |||

Scale 1187 | Kokin-joshi | |||

Scale 1203 | Pagimic | |||

Scale 1235 | Messiaen Truncated Mode 2 | |||

Scale 1043 | ||||

Scale 1107 | Mogitonic | |||

Scale 1299 | Aerophitonic | |||

Scale 1427 | Lolimic | |||

Scale 1683 | Raga Malayamarutam | |||

Scale 147 | ||||

Scale 659 | Raga Rasika Ranjani | |||

Scale 2195 | Zalitonic | |||

Scale 3219 | Ionaphimic |

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.