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Scale 1193: "Minor Pentatonic"

Scale 1193: Minor Pentatonic, 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

Western Modern
Minor Pentatonic
Pentatonic Minor
Jazz and Blues
Blues Pentatonic
Carnatic Raga
Raga Dhani
Abheri
Unknown / Unsorted
Udhayaravi Chandrika
Nam
Northern Sa mac
Chinese
Qing Shang
Gu Xian
Jia Zhong
Yu
Yúdiào
Korean
P'yongjo-kyemyonjo
Japanese
Minyô
Vietnamese
Lai Yai
Lai Noi
Exoticisms
Peruvian Pentatonic 2
Ethiopian
Batti Minor
Zeitler
Rocritonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,3,5,7,10}
Forte Number5-35
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia0 (anhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections1
Modes4
Prime?no
prime: 661
Deep Scaleno
Interval Vector032140
Interval Spectrump4mn2s3
Distribution Spectra<1> = {2,3}
<2> = {4,5}
<3> = {7,8}
<4> = {9,10}
Spectra Variation0.8
Maximally Evenyes
Maximal Area Setyes
Interior Area2.299
Myhill Propertyyes
Balancedno
Ridge Tones[10]
ProprietyStrictly Proper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsD♯{3,7,10}110.5
Minor Triadscm{0,3,7}110.5
Parsimonious Voice Leading Between Common Triads of Scale 1193. Created by Ian Ring ©2019 cm cm D# D# cm->D#

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 1193 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 661
Scale 661: Major Pentatonic, Ian Ring Music TheoryMajor PentatonicThis is the prime mode
3rd mode:
Scale 1189
Scale 1189: Suspended Pentatonic, Ian Ring Music TheorySuspended Pentatonic
4th mode:
Scale 1321
Scale 1321: Blues Minor, Ian Ring Music TheoryBlues Minor
5th mode:
Scale 677
Scale 677: Scottish Pentatonic, Ian Ring Music TheoryScottish Pentatonic

Prime

The prime form of this scale is Scale 661

Scale 661Scale 661: Major Pentatonic, Ian Ring Music TheoryMajor Pentatonic

Complement

The pentatonic modal family [1193, 661, 1189, 1321, 677] (Forte: 5-35) is the complement of the heptatonic modal family [1387, 1451, 1453, 1709, 1717, 2741, 2773] (Forte: 7-35)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1193 is 677

Scale 677Scale 677: Scottish Pentatonic, Ian Ring Music TheoryScottish Pentatonic

Transformations:

T0 1193  T0I 677
T1 2386  T1I 1354
T2 677  T2I 2708
T3 1354  T3I 1321
T4 2708  T4I 2642
T5 1321  T5I 1189
T6 2642  T6I 2378
T7 1189  T7I 661
T8 2378  T8I 1322
T9 661  T9I 2644
T10 1322  T10I 1193
T11 2644  T11I 2386

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 1195Scale 1195: Raga Gandharavam, Ian Ring Music TheoryRaga Gandharavam
Scale 1197Scale 1197: Minor Hexatonic, Ian Ring Music TheoryMinor Hexatonic
Scale 1185Scale 1185: Genus Primum Inverse, Ian Ring Music TheoryGenus Primum Inverse
Scale 1189Scale 1189: Suspended Pentatonic, Ian Ring Music TheorySuspended Pentatonic
Scale 1201Scale 1201: Mixolydian Pentatonic, Ian Ring Music TheoryMixolydian Pentatonic
Scale 1209Scale 1209: Raga Bhanumanjari, Ian Ring Music TheoryRaga Bhanumanjari
Scale 1161Scale 1161: Bi Yu, Ian Ring Music TheoryBi Yu
Scale 1177Scale 1177: Garitonic, Ian Ring Music TheoryGaritonic
Scale 1225Scale 1225: Raga Samudhra Priya, Ian Ring Music TheoryRaga Samudhra Priya
Scale 1257Scale 1257: Blues Scale, Ian Ring Music TheoryBlues Scale
Scale 1065Scale 1065, Ian Ring Music Theory
Scale 1129Scale 1129: Raga Jayakauns, Ian Ring Music TheoryRaga Jayakauns
Scale 1321Scale 1321: Blues Minor, Ian Ring Music TheoryBlues Minor
Scale 1449Scale 1449: Raga Gopikavasantam, Ian Ring Music TheoryRaga Gopikavasantam
Scale 1705Scale 1705: Raga Manohari, Ian Ring Music TheoryRaga Manohari
Scale 169Scale 169: Vietnamese Tetratonic, Ian Ring Music TheoryVietnamese Tetratonic
Scale 681Scale 681: Kyemyonjo, Ian Ring Music TheoryKyemyonjo
Scale 2217Scale 2217: Kagitonic, Ian Ring Music TheoryKagitonic
Scale 3241Scale 3241: Dalimic, Ian Ring Music TheoryDalimic

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.