The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 485: "Stoptimic"

Scale 485: Stoptimic, 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
Stoptimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,5,6,7,8}
Forte Number6-Z41
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1265
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
Minor Triadsfm{5,8,0}110.5
Diminished Triads{2,5,8}110.5
Parsimonious Voice Leading Between Common Triads of Scale 485. Created by Ian Ring ©2019 fm fm d°->fm

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

2nd mode:
Scale 1145
Scale 1145: Zygimic, Ian Ring Music TheoryZygimic
3rd mode:
Scale 655
Scale 655: Kataptimic, Ian Ring Music TheoryKataptimic
4th mode:
Scale 2375
Scale 2375: Aeolaptimic, Ian Ring Music TheoryAeolaptimic
5th mode:
Scale 3235
Scale 3235: Pothimic, Ian Ring Music TheoryPothimic
6th mode:
Scale 3665
Scale 3665: Stalimic, Ian Ring Music TheoryStalimic

Prime

The prime form of this scale is Scale 335

Scale 335Scale 335: Zanimic, Ian Ring Music TheoryZanimic

Complement

The hexatonic modal family [485, 1145, 655, 2375, 3235, 3665] (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 485 is 1265

Scale 1265Scale 1265: Pynimic, Ian Ring Music TheoryPynimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 485 is chiral, and its enantiomorph is scale 1265

Scale 1265Scale 1265: Pynimic, Ian Ring Music TheoryPynimic

Transformations:

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

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 487Scale 487: Dynian, Ian Ring Music TheoryDynian
Scale 481Scale 481, Ian Ring Music Theory
Scale 483Scale 483: Kygimic, Ian Ring Music TheoryKygimic
Scale 489Scale 489: Phrathimic, Ian Ring Music TheoryPhrathimic
Scale 493Scale 493: Rygian, Ian Ring Music TheoryRygian
Scale 501Scale 501: Katylian, Ian Ring Music TheoryKatylian
Scale 453Scale 453: Raditonic, Ian Ring Music TheoryRaditonic
Scale 469Scale 469: Katyrimic, Ian Ring Music TheoryKatyrimic
Scale 421Scale 421: Han-kumoi, Ian Ring Music TheoryHan-kumoi
Scale 357Scale 357: Banitonic, Ian Ring Music TheoryBanitonic
Scale 229Scale 229, Ian Ring Music Theory
Scale 741Scale 741: Gathimic, Ian Ring Music TheoryGathimic
Scale 997Scale 997: Rycrian, Ian Ring Music TheoryRycrian
Scale 1509Scale 1509: Ragian, Ian Ring Music TheoryRagian
Scale 2533Scale 2533: Podian, Ian Ring Music TheoryPodian

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.