The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 3829: "Taishikicho"

Scale 3829: Taishikicho, 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

Japanese
Taishikicho
Ryo
Carnatic Raga
Raga Chayanat
Western Mixed
Lydian/Mixolydian Mixed
Zeitler
Aerycrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,4,5,6,7,9,10,11}
Forte Number9-9
Rotational Symmetrynone
Reflection Axes2
Palindromicno
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections1
Modes8
Prime?no
prime: 1519
Deep Scaleno
Interval Vector676683
Interval Spectrump8m6n6s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {5,6}
<5> = {6,7}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.333
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[4]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3829 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1981
Scale 1981: Houseini, Ian Ring Music TheoryHouseini
3rd mode:
Scale 1519
Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music TheoryLocrian/Aeolian MixedThis is the prime mode
4th mode:
Scale 2807
Scale 2807: Zylygic, Ian Ring Music TheoryZylygic
5th mode:
Scale 3451
Scale 3451: Garygic, Ian Ring Music TheoryGarygic
6th mode:
Scale 3773
Scale 3773: Raga Malgunji, Ian Ring Music TheoryRaga Malgunji
7th mode:
Scale 1967
Scale 1967: Diatonic Dorian Mixed, Ian Ring Music TheoryDiatonic Dorian Mixed
8th mode:
Scale 3031
Scale 3031: Epithygic, Ian Ring Music TheoryEpithygic
9th mode:
Scale 3563
Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic

Prime

The prime form of this scale is Scale 1519

Scale 1519Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music TheoryLocrian/Aeolian Mixed

Complement

The nonatonic modal family [3829, 1981, 1519, 2807, 3451, 3773, 1967, 3031, 3563] (Forte: 9-9) is the complement of the tritonic modal family [133, 161, 1057] (Forte: 3-9)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3829 is 1519

Scale 1519Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music TheoryLocrian/Aeolian Mixed

Transformations:

T0 3829  T0I 1519
T1 3563  T1I 3038
T2 3031  T2I 1981
T3 1967  T3I 3962
T4 3934  T4I 3829
T5 3773  T5I 3563
T6 3451  T6I 3031
T7 2807  T7I 1967
T8 1519  T8I 3934
T9 3038  T9I 3773
T10 1981  T10I 3451
T11 3962  T11I 2807

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 3831Scale 3831: Ionyllian, Ian Ring Music TheoryIonyllian
Scale 3825Scale 3825: Pynyllic, Ian Ring Music TheoryPynyllic
Scale 3827Scale 3827: Bodygic, Ian Ring Music TheoryBodygic
Scale 3833Scale 3833: Dycrygic, Ian Ring Music TheoryDycrygic
Scale 3837Scale 3837: Minor Pentatonic With Leading Tones, Ian Ring Music TheoryMinor Pentatonic With Leading Tones
Scale 3813Scale 3813: Aeologyllic, Ian Ring Music TheoryAeologyllic
Scale 3821Scale 3821: Epyrygic, Ian Ring Music TheoryEpyrygic
Scale 3797Scale 3797: Rocryllic, Ian Ring Music TheoryRocryllic
Scale 3765Scale 3765: Dominant Bebop, Ian Ring Music TheoryDominant Bebop
Scale 3701Scale 3701: Bagyllic, Ian Ring Music TheoryBagyllic
Scale 3957Scale 3957: Porygic, Ian Ring Music TheoryPorygic
Scale 4085Scale 4085: Sydyllian, Ian Ring Music TheorySydyllian
Scale 3317Scale 3317: Katynyllic, Ian Ring Music TheoryKatynyllic
Scale 3573Scale 3573: Kaptygic, Ian Ring Music TheoryKaptygic
Scale 2805Scale 2805: Ishikotsucho, Ian Ring Music TheoryIshikotsucho
Scale 1781Scale 1781: Gocryllic, Ian Ring Music TheoryGocryllic

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.