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Scale 3625: "Podimic"

Scale 3625: Podimic, 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

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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
Podimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,3,5,9,10,11}
Forte Number6-Z41
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 655
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?no
prime: 335
Deep Scaleno
Interval Vector332232
Interval Spectrump3m2n2s3d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,4,5,6}
<3> = {3,5,6,7,9}
<4> = {6,7,8,10}
<5> = {8,9,10,11}
Spectra Variation3.333
Maximally Evenno
Maximal Area Setno
Interior Area2.116
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
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 TriadsF{5,9,0}110.5
Diminished Triads{9,0,3}110.5
Parsimonious Voice Leading Between Common Triads of Scale 3625. Created by Ian Ring ©2019 F F F->a°

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 3625 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 965
Scale 965: Ionothimic, Ian Ring Music TheoryIonothimic
3rd mode:
Scale 1265
Scale 1265: Pynimic, Ian Ring Music TheoryPynimic
4th mode:
Scale 335
Scale 335: Zanimic, Ian Ring Music TheoryZanimicThis is the prime mode
5th mode:
Scale 2215
Scale 2215: Ranimic, Ian Ring Music TheoryRanimic
6th mode:
Scale 3155
Scale 3155: Ladimic, Ian Ring Music TheoryLadimic

Prime

The prime form of this scale is Scale 335

Scale 335Scale 335: Zanimic, Ian Ring Music TheoryZanimic

Complement

The hexatonic modal family [3625, 965, 1265, 335, 2215, 3155] (Forte: 6-Z41) is the complement of the hexatonic modal family [215, 1475, 1805, 2155, 2785, 3125] (Forte: 6-Z12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3625 is 655

Scale 655Scale 655: Kataptimic, Ian Ring Music TheoryKataptimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3625 is chiral, and its enantiomorph is scale 655

Scale 655Scale 655: Kataptimic, Ian Ring Music TheoryKataptimic

Transformations:

T0 3625  T0I 655
T1 3155  T1I 1310
T2 2215  T2I 2620
T3 335  T3I 1145
T4 670  T4I 2290
T5 1340  T5I 485
T6 2680  T6I 970
T7 1265  T7I 1940
T8 2530  T8I 3880
T9 965  T9I 3665
T10 1930  T10I 3235
T11 3860  T11I 2375

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 3627Scale 3627: Kalian, Ian Ring Music TheoryKalian
Scale 3629Scale 3629: Boptian, Ian Ring Music TheoryBoptian
Scale 3617Scale 3617, Ian Ring Music Theory
Scale 3621Scale 3621: Gylimic, Ian Ring Music TheoryGylimic
Scale 3633Scale 3633: Daptimic, Ian Ring Music TheoryDaptimic
Scale 3641Scale 3641: Thocrian, Ian Ring Music TheoryThocrian
Scale 3593Scale 3593, Ian Ring Music Theory
Scale 3609Scale 3609, Ian Ring Music Theory
Scale 3657Scale 3657: Epynimic, Ian Ring Music TheoryEpynimic
Scale 3689Scale 3689: Katocrian, Ian Ring Music TheoryKatocrian
Scale 3753Scale 3753: Phraptian, Ian Ring Music TheoryPhraptian
Scale 3881Scale 3881: Morian, Ian Ring Music TheoryMorian
Scale 3113Scale 3113, Ian Ring Music Theory
Scale 3369Scale 3369: Mixolimic, Ian Ring Music TheoryMixolimic
Scale 2601Scale 2601: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 1577Scale 1577: Raga Chandrakauns (Kafi), Ian Ring Music TheoryRaga Chandrakauns (Kafi)

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.