Music Theory Maestro vs Surface Explorer

Music Theory Maestro is the complete, interactive way to learn music theory on iPhone and iPad — from your very first note to advanced harmony. LEARN FROM BASIC TO ADVANCED • Reading the staff, ledger lines and note names • Treble, bass and alto clefs • Note values, rests, dotted notes and ties • Bars, bar lines and time signatures • Tones, semitones and every interval • Major, minor, modal, pentatonic, blues, whole-tone and chromatic scales • Key signatures, harmony, triads, seventh chords, inversions and cadences • Modes, transposition, ornaments and modulation SEE AND HEAR EVERYTHING • Real music notation you can play back • An interactive piano keyboard • The Wheel of Scales — an interactive Circle of Fifths SCALES & CHORDS • Explore every key and its relative minor • Build any scale or chord and hear it ascending, descending or arpeggiated GRADE 1–8 MOCK EXAMS • Graded multiple-choice tests with notation-reading questions • Instant explanations, scoring and progress tracking • Topic drills and quick mixed practice MUSICAL STYLES • How jazz, blues, R&B/soul and classical each apply theory • Signature chord progressions you can play Perfect for students preparing for graded music exams, self-taught musicians, songwriters and teachers. No account required and everything works offline.

Surface Explorer is a high-performance visualizer for intricate mathematical surfaces — 2D manifolds embedded in three- or four-dimensional space, and 3D slices of four-dimensional hypersurfaces — bringing abstract geometry to life with real-time GPU rendering. KEY FEATURES • Cross Section — slice four-dimensional hypersurfaces and watch their 3D sections change shape as you rotate them in 4D or slide the cutting plane along the fourth axis, even along a 4D camera path. • Ray Marching Engine — real-time rendering of implicit surfaces and signed-distance fields, with procedural displacement, transparency, adjustable shells, and a precise mode for high-degree equations. • Multi-Mesh Surfaces — build figures from several independent grids, set with a single field or a script, each with its own color, transparency, texture, image and domain. • Solid Curve — write a curve in 3D or 4D and see the tube drawn around it, with adjustable thickness; several tubes from a script. • Surface Borders — add a tube along the edges of a parametric surface, with its own color, texture and thickness. • Geodesic Flow — explore intrinsic geometry on curved manifolds (S³, H²×R, SL(2,R) and more), integrating geodesics from initial conditions. • 4D Spatial Exploration — dedicated controls for hyperspatial rotation (Omega, Phi, Psi), projection, and 3D and 4D camera paths. • 4D Lighting Models — Directional, Observer, and Slice lighting designed for hyperspace. • Dynamic GLSL Scripting — write custom shaders for procedural textures and surface logic in the built-in editor. • Backgrounds — images and procedural effects, fixed on screen or wrapped around the scene as a sphere, cylinder or cube. • Audio-Visual Synthesis — synchronize geometric parameters with a mathematical sound synthesizer. • Video Recording — capture your explorations directly in the app and save them to your device. A library of ready-made presets ships with the app, from classic parametric surfaces to black-hole ergospheres, curved-space tori and slices of the 3-torus, together with a searchable built-in manual. Built with Qt and Metal for smooth, native performance on iPhone and iPad.