The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1159

Scale 1159, 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).

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,2,7,10}
Forte Number5-Z36
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3109
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?no
prime: 151
Deep Scaleno
Interval Vector222121
Interval Spectrump2mn2s2d2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {2,3,5,6,8}
<3> = {4,6,7,9,10}
<4> = {7,9,10,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.683
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1159 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2627
Scale 2627, Ian Ring Music Theory
3rd mode:
Scale 3361
Scale 3361, Ian Ring Music Theory
4th mode:
Scale 233
Scale 233, Ian Ring Music Theory
5th mode:
Scale 541
Scale 541, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 151

Scale 151Scale 151, Ian Ring Music Theory

Complement

The pentatonic modal family [1159, 2627, 3361, 233, 541] (Forte: 5-Z36) is the complement of the heptatonic modal family [367, 1777, 1931, 2231, 3013, 3163, 3629] (Forte: 7-Z36)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1159 is 3109

Scale 3109Scale 3109, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1159 is chiral, and its enantiomorph is scale 3109

Scale 3109Scale 3109, Ian Ring Music Theory

Transformations:

T0 1159  T0I 3109
T1 2318  T1I 2123
T2 541  T2I 151
T3 1082  T3I 302
T4 2164  T4I 604
T5 233  T5I 1208
T6 466  T6I 2416
T7 932  T7I 737
T8 1864  T8I 1474
T9 3728  T9I 2948
T10 3361  T10I 1801
T11 2627  T11I 3602

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 1157Scale 1157, Ian Ring Music Theory
Scale 1155Scale 1155, Ian Ring Music Theory
Scale 1163Scale 1163: Raga Rukmangi, Ian Ring Music TheoryRaga Rukmangi
Scale 1167Scale 1167: Aerodimic, Ian Ring Music TheoryAerodimic
Scale 1175Scale 1175: Epycrimic, Ian Ring Music TheoryEpycrimic
Scale 1191Scale 1191: Pyrimic, Ian Ring Music TheoryPyrimic
Scale 1223Scale 1223: Phryptimic, Ian Ring Music TheoryPhryptimic
Scale 1031Scale 1031, Ian Ring Music Theory
Scale 1095Scale 1095: Phrythitonic, Ian Ring Music TheoryPhrythitonic
Scale 1287Scale 1287, Ian Ring Music Theory
Scale 1415Scale 1415, Ian Ring Music Theory
Scale 1671Scale 1671, Ian Ring Music Theory
Scale 135Scale 135, Ian Ring Music Theory
Scale 647Scale 647, Ian Ring Music Theory
Scale 2183Scale 2183, Ian Ring Music Theory
Scale 3207Scale 3207, Ian Ring Music Theory

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.