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Scale 1981: "Houseini"

Scale 1981: Houseini, 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

Unknown / Unsorted
Houseini
Western Mixed
Modes of Major Pentatonic Mixed
Zeitler
Gadygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,3,4,5,7,8,9,10}
Forte Number9-9
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
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
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedno
Ridge Tones[0]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1981 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1519
Scale 1519: Locrian/Aeolian Mixed, Ian Ring Music TheoryLocrian/Aeolian MixedThis is the prime mode
3rd mode:
Scale 2807
Scale 2807: Zylygic, Ian Ring Music TheoryZylygic
4th mode:
Scale 3451
Scale 3451: Garygic, Ian Ring Music TheoryGarygic
5th mode:
Scale 3773
Scale 3773: Raga Malgunji, Ian Ring Music TheoryRaga Malgunji
6th mode:
Scale 1967
Scale 1967: Diatonic Dorian Mixed, Ian Ring Music TheoryDiatonic Dorian Mixed
7th mode:
Scale 3031
Scale 3031: Epithygic, Ian Ring Music TheoryEpithygic
8th mode:
Scale 3563
Scale 3563: Ionoptygic, Ian Ring Music TheoryIonoptygic
9th mode:
Scale 3829
Scale 3829: Taishikicho, Ian Ring Music TheoryTaishikicho

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 [1981, 1519, 2807, 3451, 3773, 1967, 3031, 3563, 3829] (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 1981 is itself, because it is a palindromic scale!

Scale 1981Scale 1981: Houseini, Ian Ring Music TheoryHouseini

Transformations:

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

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 1983Scale 1983: Soryllian, Ian Ring Music TheorySoryllian
Scale 1977Scale 1977: Dagyllic, Ian Ring Music TheoryDagyllic
Scale 1979Scale 1979: Aeradygic, Ian Ring Music TheoryAeradygic
Scale 1973Scale 1973: Zyryllic, Ian Ring Music TheoryZyryllic
Scale 1965Scale 1965: Raga Mukhari, Ian Ring Music TheoryRaga Mukhari
Scale 1949Scale 1949: Mathyllic, Ian Ring Music TheoryMathyllic
Scale 2013Scale 2013: Mocrygic, Ian Ring Music TheoryMocrygic
Scale 2045Scale 2045: Katogyllian, Ian Ring Music TheoryKatogyllian
Scale 1853Scale 1853: Maryllic, Ian Ring Music TheoryMaryllic
Scale 1917Scale 1917: Thydyllian, Ian Ring Music TheoryThydyllian
Scale 1725Scale 1725: Minor Bebop, Ian Ring Music TheoryMinor Bebop
Scale 1469Scale 1469: Epiryllic, Ian Ring Music TheoryEpiryllic
Scale 957Scale 957: Phronyllic, Ian Ring Music TheoryPhronyllic
Scale 3005Scale 3005: Gycrygic, Ian Ring Music TheoryGycrygic
Scale 4029Scale 4029: Major/Minor Mixed, Ian Ring Music TheoryMajor/Minor Mixed

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.