The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1433: "Dynimic"

Scale 1433: Dynimic, 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
Dynimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,4,7,8,10}
Forte Number6-31
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 821
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes5
Prime?no
prime: 691
Deep Scaleno
Interval Vector223431
Interval Spectrump3m4n3s2d2t
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {5,6,7}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation1.667
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
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 TriadsC{0,4,7}321.17
D♯{3,7,10}231.5
G♯{8,0,3}231.5
Minor Triadscm{0,3,7}321.17
Augmented TriadsC+{0,4,8}231.5
Diminished Triads{4,7,10}231.5
Parsimonious Voice Leading Between Common Triads of Scale 1433. Created by Ian Ring ©2019 cm cm C C cm->C D# D# cm->D# G# G# cm->G# C+ C+ C->C+ C->e° C+->G# D#->e°

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.

Diameter3
Radius2
Self-Centeredno
Central Verticescm, C
Peripheral VerticesC+, D♯, e°, G♯

Modes

Modes are the rotational transformation of this scale. Scale 1433 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 691
Scale 691: Raga Kalavati, Ian Ring Music TheoryRaga KalavatiThis is the prime mode
3rd mode:
Scale 2393
Scale 2393: Zathimic, Ian Ring Music TheoryZathimic
4th mode:
Scale 811
Scale 811: Radimic, Ian Ring Music TheoryRadimic
5th mode:
Scale 2453
Scale 2453: Raga Latika, Ian Ring Music TheoryRaga Latika
6th mode:
Scale 1637
Scale 1637: Syptimic, Ian Ring Music TheorySyptimic

Prime

The prime form of this scale is Scale 691

Scale 691Scale 691: Raga Kalavati, Ian Ring Music TheoryRaga Kalavati

Complement

The hexatonic modal family [1433, 691, 2393, 811, 2453, 1637] (Forte: 6-31) is the complement of the hexatonic modal family [691, 811, 1433, 1637, 2393, 2453] (Forte: 6-31)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1433 is 821

Scale 821Scale 821: Aeranimic, Ian Ring Music TheoryAeranimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1433 is chiral, and its enantiomorph is scale 821

Scale 821Scale 821: Aeranimic, Ian Ring Music TheoryAeranimic

Transformations:

T0 1433  T0I 821
T1 2866  T1I 1642
T2 1637  T2I 3284
T3 3274  T3I 2473
T4 2453  T4I 851
T5 811  T5I 1702
T6 1622  T6I 3404
T7 3244  T7I 2713
T8 2393  T8I 1331
T9 691  T9I 2662
T10 1382  T10I 1229
T11 2764  T11I 2458

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 1435Scale 1435: Makam Huzzam, Ian Ring Music TheoryMakam Huzzam
Scale 1437Scale 1437: Sabach ascending, Ian Ring Music TheorySabach ascending
Scale 1425Scale 1425: Ryphitonic, Ian Ring Music TheoryRyphitonic
Scale 1429Scale 1429: Bythimic, Ian Ring Music TheoryBythimic
Scale 1417Scale 1417: Raga Shailaja, Ian Ring Music TheoryRaga Shailaja
Scale 1449Scale 1449: Raga Gopikavasantam, Ian Ring Music TheoryRaga Gopikavasantam
Scale 1465Scale 1465: Mela Ragavardhani, Ian Ring Music TheoryMela Ragavardhani
Scale 1497Scale 1497: Mela Jyotisvarupini, Ian Ring Music TheoryMela Jyotisvarupini
Scale 1305Scale 1305: Dynitonic, Ian Ring Music TheoryDynitonic
Scale 1369Scale 1369: Boptimic, Ian Ring Music TheoryBoptimic
Scale 1177Scale 1177: Garitonic, Ian Ring Music TheoryGaritonic
Scale 1689Scale 1689: Lorimic, Ian Ring Music TheoryLorimic
Scale 1945Scale 1945: Zarian, Ian Ring Music TheoryZarian
Scale 409Scale 409: Laritonic, Ian Ring Music TheoryLaritonic
Scale 921Scale 921: Bogimic, Ian Ring Music TheoryBogimic
Scale 2457Scale 2457: Augmented, Ian Ring Music TheoryAugmented
Scale 3481Scale 3481: Katathian, Ian Ring Music TheoryKatathian

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.