The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 3141: "Kanitonic"

Scale 3141: Kanitonic, Ian Ring Music Theory

Bracelet Diagram

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 Diagram

41161837294116105072918310504116183
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).

Common Names

Zeitler
Kanitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,6,10,11}
Forte Number5-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1095
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes4
Prime?no
prime: 279
Deep Scaleno
Interval Vector221311
Interval Spectrumpm3ns2d2t
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6,8}
<3> = {4,6,7,9,10}
<4> = {8,10,11}
Spectra Variation3.6
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3141 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1809
Scale 1809: Ranitonic, Ian Ring Music TheoryRanitonic
3rd mode:
Scale 369
Scale 369: Laditonic, Ian Ring Music TheoryLaditonic
4th mode:
Scale 279
Scale 279: Poditonic, Ian Ring Music TheoryPoditonicThis is the prime mode
5th mode:
Scale 2187
Scale 2187: Ionothitonic, Ian Ring Music TheoryIonothitonic

Prime

The prime form of this scale is Scale 279

Scale 279Scale 279: Poditonic, Ian Ring Music TheoryPoditonic

Complement

The pentatonic modal family [3141, 1809, 369, 279, 2187] (Forte: 5-13) is the complement of the heptatonic modal family [375, 1815, 1905, 2235, 2955, 3165, 3525] (Forte: 7-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3141 is 1095

Scale 1095Scale 1095: Phrythitonic, Ian Ring Music TheoryPhrythitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3141 is chiral, and its enantiomorph is scale 1095

Scale 1095Scale 1095: Phrythitonic, Ian Ring Music TheoryPhrythitonic

Transformations:

T0 3141  T0I 1095
T1 2187  T1I 2190
T2 279  T2I 285
T3 558  T3I 570
T4 1116  T4I 1140
T5 2232  T5I 2280
T6 369  T6I 465
T7 738  T7I 930
T8 1476  T8I 1860
T9 2952  T9I 3720
T10 1809  T10I 3345
T11 3618  T11I 2595

Nearby Scales:

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 3143Scale 3143: Polimic, Ian Ring Music TheoryPolimic
Scale 3137Scale 3137, Ian Ring Music Theory
Scale 3139Scale 3139, Ian Ring Music Theory
Scale 3145Scale 3145: Stolitonic, Ian Ring Music TheoryStolitonic
Scale 3149Scale 3149: Phrycrimic, Ian Ring Music TheoryPhrycrimic
Scale 3157Scale 3157: Zyptimic, Ian Ring Music TheoryZyptimic
Scale 3173Scale 3173: Zarimic, Ian Ring Music TheoryZarimic
Scale 3077Scale 3077, Ian Ring Music Theory
Scale 3109Scale 3109, Ian Ring Music Theory
Scale 3205Scale 3205, Ian Ring Music Theory
Scale 3269Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani
Scale 3397Scale 3397: Sydimic, Ian Ring Music TheorySydimic
Scale 3653Scale 3653: Sathimic, Ian Ring Music TheorySathimic
Scale 2117Scale 2117: Raga Sumukam, Ian Ring Music TheoryRaga Sumukam
Scale 2629Scale 2629: Raga Shubravarni, Ian Ring Music TheoryRaga Shubravarni
Scale 1093Scale 1093: Lydic, Ian Ring Music TheoryLydic

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.