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Scale 625: "Ionyptitonic"

Scale 625: Ionyptitonic, 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
Ionyptitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,4,5,6,9}
Forte Number5-Z38
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 457
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?no
prime: 295
Deep Scaleno
Interval Vector212221
Interval Spectrump2m2n2sd2t
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5,6,7}
<3> = {5,6,7,8,10}
<4> = {8,9,11}
Spectra Variation3.2
Maximally Evenno
Maximal Area Setno
Interior Area1.933
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}210.67
Minor Triadsam{9,0,4}121
Diminished Triadsf♯°{6,9,0}121
Parsimonious Voice Leading Between Common Triads of Scale 625. Created by Ian Ring ©2019 F F f#° f#° F->f#° am am F->am

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.

Diameter2
Radius1
Self-Centeredno
Central VerticesF
Peripheral Verticesf♯°, am

Modes

Modes are the rotational transformation of this scale. Scale 625 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 295
Scale 295: Gyritonic, Ian Ring Music TheoryGyritonicThis is the prime mode
3rd mode:
Scale 2195
Scale 2195: Zalitonic, Ian Ring Music TheoryZalitonic
4th mode:
Scale 3145
Scale 3145: Stolitonic, Ian Ring Music TheoryStolitonic
5th mode:
Scale 905
Scale 905: Bylitonic, Ian Ring Music TheoryBylitonic

Prime

The prime form of this scale is Scale 295

Scale 295Scale 295: Gyritonic, Ian Ring Music TheoryGyritonic

Complement

The pentatonic modal family [625, 295, 2195, 3145, 905] (Forte: 5-Z38) is the complement of the heptatonic modal family [439, 1763, 1819, 2267, 2929, 2957, 3181] (Forte: 7-Z38)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 625 is 457

Scale 457Scale 457: Staptitonic, Ian Ring Music TheoryStaptitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 625 is chiral, and its enantiomorph is scale 457

Scale 457Scale 457: Staptitonic, Ian Ring Music TheoryStaptitonic

Transformations:

T0 625  T0I 457
T1 1250  T1I 914
T2 2500  T2I 1828
T3 905  T3I 3656
T4 1810  T4I 3217
T5 3620  T5I 2339
T6 3145  T6I 583
T7 2195  T7I 1166
T8 295  T8I 2332
T9 590  T9I 569
T10 1180  T10I 1138
T11 2360  T11I 2276

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 627Scale 627: Mogimic, Ian Ring Music TheoryMogimic
Scale 629Scale 629: Aeronimic, Ian Ring Music TheoryAeronimic
Scale 633Scale 633: Kydimic, Ian Ring Music TheoryKydimic
Scale 609Scale 609, Ian Ring Music Theory
Scale 617Scale 617: Katycritonic, Ian Ring Music TheoryKatycritonic
Scale 593Scale 593: Saric, Ian Ring Music TheorySaric
Scale 561Scale 561: Phratic, Ian Ring Music TheoryPhratic
Scale 689Scale 689: Raga Nagasvaravali, Ian Ring Music TheoryRaga Nagasvaravali
Scale 753Scale 753: Aeronimic, Ian Ring Music TheoryAeronimic
Scale 881Scale 881: Aerothimic, Ian Ring Music TheoryAerothimic
Scale 113Scale 113, Ian Ring Music Theory
Scale 369Scale 369: Laditonic, Ian Ring Music TheoryLaditonic
Scale 1137Scale 1137: Stonitonic, Ian Ring Music TheoryStonitonic
Scale 1649Scale 1649: Bolimic, Ian Ring Music TheoryBolimic
Scale 2673Scale 2673: Mythimic, Ian Ring Music TheoryMythimic

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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.