Order, Suborder, Class and Subclass

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TL;DR: G.V. Black classified all dental hand cutting instruments using a four-tier hierarchy. Order separates cutting from non-cutting instruments. Suborder divides cutting instruments by how force is applied — hand pressure, mallet, or rotary. Class describes the geometric relationship between the blade and the long axis of the handle/shank. Subclass further refines blade form within each class. Together, these four levels provide a systematic, logical naming framework that underpins the G.V. Black formula and guides instrument selection.

  • Order 1 = cutting instruments; Order 2 = non-cutting instruments
  • Three suborders based on the mechanism of force application
  • Six classes determined by blade axis geometry
  • Subclasses differentiate blade shape variants within each class
System Author
G.V. Black (1908)
Taxonomy Levels
4 — Order, Suborder, Class, Subclass
Orders
2 (Cutting & Non-Cutting)
Suborders of Cutting
3 (Hand Pressure, Mallet, Rotary)
Classes
6 (by blade–shank axis geometry)
Clinical Relevance
Determines cutting motion & application

#Overview of the Taxonomy

When G.V. Black systematised operative dentistry at the turn of the 20th century, he recognised that hundreds of different hand instruments were in use — many overlapping in function, inconsistently named, and poorly understood by students and practitioners alike. His response was to create a hierarchical classification system modelled on the biological concept of taxonomy: a nested series of categories, each more specific than the last, that places every instrument in exactly one unambiguous position.

The four levels are Order, Suborder, Class, and Subclass. Reading them top to bottom moves from the broadest distinction (does the instrument cut at all?) down to fine geometric details of blade shape. The system is entirely logic-driven: a clinician who understands the taxonomy can deduce what an instrument does — and how to use it — from its classification alone, even without ever having seen that specific instrument before.

This taxonomy is the conceptual foundation behind the G.V. Black formula, the three- or four-number code stamped on every hand cutting instrument. The formula encodes blade width, angle, and length in millimetres and degrees, but the broader classification of Order, Suborder, Class, and Subclass determines the instrument’s category, cutting mechanism, and blade geometry before a single measurement is read.

Level 1
Order — Is the instrument a cutting instrument or not?
Level 2
Suborder — How is the cutting force applied? (Hand / Mallet / Rotary)
Level 3
Class — What is the geometric relationship between blade and shank axis?
Level 4
Subclass — What specific blade form or angulation variant is used?

#Order: Cutting vs. Non-Cutting Instruments

The first and broadest division in Black’s taxonomy separates all dental hand instruments into exactly two orders based on whether they possess a cutting edge.

OrderNameDefining FeatureExamples
Order 1Cutting instrumentsPossess one or more sharp cutting edges designed to remove tooth structureChisels, excavators, hatchets, angle formers, gingival margin trimmers, files
Order 2Non-cutting instrumentsNo cutting edge; used for condensing, carving, burnishing, or placementAmalgam condensers, burnishers, pluggers, spatulas, carvers

The remainder of Black’s taxonomy applies only to Order 1 — cutting instruments. Non-cutting instruments (Order 2) have their own sub-classification based on function (e.g., condensers, burnishers) but do not share the Suborder–Class–Subclass hierarchy discussed in this article.

Note The distinction between Orders is more than academic. Order 1 instruments must be kept sharp and sterilised carefully to preserve edge integrity. Order 2 instruments are evaluated on surface finish and flexibility rather than edge sharpness.

#Suborder: Nature of the Cutting Action

Within Order 1, cutting instruments are divided into three suborders based on how the cutting force is delivered to the blade. This immediately tells the clinician whether the instrument is held and pushed by hand, struck with a mallet, or driven by a rotary handpiece.

SuborderForce MechanismDescriptionExamples
Suborder IHand pressureForce applied directly by the operator’s hand; no auxiliary power sourceHand chisels, excavators, hatchets, gingival margin trimmers
Suborder IIMallet-drivenForce applied by tapping the handle end with a mallet; used for greater force than hand pressure allowsMallet chisels, enamel chisels (when mallet-driven)
Suborder IIIRotaryBlade rotates; driven by a handpiece (contra-angle or straight)Rotary files, engine-driven excavators (less common today; largely replaced by burs)

Suborder I — Hand Pressure Instruments

The largest and most clinically relevant suborder in contemporary dentistry, Suborder I instruments are used for cavity refinement, caries removal, and wall planing. The force vector is entirely under the operator’s control, making these instruments precise but requiring a well-developed grasp and fulcrum technique. All of the classic instrument families taught in undergraduate operative dentistry — chisels, excavators, hatchets, gingival margin trimmers — fall here.

The cutting action of Suborder I instruments is characterised by either a push stroke (blade leading away from the operator, as in a chisel) or a pull/scraping stroke (blade drawing toward the operator, as in an excavator). The direction of stroke has a direct relationship to Class and Subclass, discussed below.

Suborder II — Mallet-Driven Instruments

Suborder II instruments share the same basic geometry as hand-pressure instruments but are designed for mallet use, which delivers a controlled percussive force. In modern practice, mallet-driven instruments are far less common than they were in Black’s era; most procedures for which they were used have been replaced by rotary instrumentation. They persist in specific contexts, such as amalgam condensation with a mechanical condenser, or specialised enamel chisel preparation techniques.

Clinical Context Mallet-driven instruments require precise technique and appropriate patient selection. The percussive force can be traumatic if applied incorrectly, and their use demands a secure fulcrum and awareness of the force pathway through the tooth.

Suborder III — Rotary Instruments

Suborder III encompasses cutting instruments designed for rotary handpieces. In Black’s original classification this included rotary files and engine reamers; today the category conceptually overlaps with bur classification. However, the primary rotary cutting tools in modern operative dentistry — carbide burs and diamond points — are often described separately under ISO bur classification rather than through the Black Suborder III taxonomy, as they post-date Black’s original system and have their own standardised coding.

Within endodontics, Suborder III instruments (hand and rotary files, reamers) retain direct taxonomic relevance.

#Class: Blade Axis Relationship to the Shank

The Class of a cutting instrument describes the geometric relationship between the plane of the blade (or cutting edge) and the long axis of the handle/shank. This is the most mechanically significant level of the taxonomy because it determines the cutting direction, the ideal application surface, and the stroke required.

Black defined six classes. The key variable is whether the blade is in line with the handle axis, at a right angle to it, or at some oblique or lateral offset — and on which plane that relationship exists.

Classes 1 & 2 — Blade in the Same Plane as the Handle

1
Blade in line with the handle; edge perpendicular to handle axis

The blade lies in the same plane as the handle (no lateral offset) and the cutting edge runs at a right angle (90°) to the long axis of the handle. This produces a straight push-cutting action directed along the handle axis.

Examples: Straight chisel, straight margin trimmer

2
Blade in line with the handle; edge oblique to handle axis

Again in the same plane as the handle with no lateral offset, but the cutting edge is set at an oblique angle (neither 90° nor parallel) to the handle axis. Produces a slicing push action with a slight lateral component.

Examples: Bin-angle chisel (when edge is oblique), oblique chisel

Classes 3 & 4 — Blade at a Right Angle to the Handle Axis

3
Blade at 90° to handle; edge perpendicular to blade

The blade is angled at a right angle to the handle axis (i.e., the blade projects laterally or superiorly rather than in line). The cutting edge is perpendicular to the blade’s own long axis. This geometry produces a lateral scraping or pull stroke.

Examples: Hatchet (lateral hatchet), certain spoon excavators

4
Blade at 90° to handle; edge parallel to blade axis

Similar to Class 3 — blade at 90° to the handle — but the cutting edge runs parallel to the blade’s own long axis rather than across it. This is sometimes described as a scraper geometry, allowing a pulling stroke along the length of the blade.

Examples: Some formers, certain wall-planing instruments

Classes 5 & 6 — Offset and Paired Geometries

5
Blade in same plane as handle; edge parallel to handle axis

The blade is in the same plane as the handle (no lateral offset) and the cutting edge runs parallel to the handle’s long axis rather than across it. This produces a lateral push or pull along the side of the blade rather than at the tip.

Examples: Certain files, scalers used in a lateral stroke

6
Blade offset; dual-plane angulation

The blade is offset from the handle axis in two planes simultaneously (a compound angulation). This provides access to areas that simpler geometries cannot reach. Instruments in Class 6 typically require the most careful adaptation to avoid skating off the intended surface.

Examples: Angle formers, triple-angled instruments

Memory Tip A simple way to remember the Class sequence: Classes 1–2 have the blade in line with the handle (same plane); Classes 3–4 have the blade at 90° to the handle; Classes 5–6 involve special geometries — parallel-edge or compound-angled. The paired structure (1/2, 3/4, 5/6) reflects edge angle variation within each geometry group.

#Subclass: Specific Blade Forms

The Subclass is the most granular level of the taxonomy. Within each Class, instruments may differ in specific blade form, curvature, angulation, or size. The Subclass designation specifies these remaining distinctions and completes the full identity of an instrument.

Subclass variations are typically described by instrument-family-specific conventions rather than a universal numbering system. Common Subclass distinctions include:

  • Blade width: e.g., narrow vs. wide hatchet blades within Class 3
  • Blade curvature: e.g., straight vs. curved (mon-angle vs. bin-angle vs. triple-angle) within chisels
  • Edge angle refinement: e.g., left- vs. right-cutting variants, which differ in which side of the cutting edge is bevelled
  • Angulation of the neck: e.g., bin-angle (one angle) vs. triple-angle (two angles) within the same Class

Left-Cutting vs. Right-Cutting Subclasses

One of the most clinically significant Subclass distinctions is the pairing of instruments into left-cutting and right-cutting variants. Many instruments — particularly hatchets, gingival margin trimmers, and angle formers — come in mirror-image pairs. The left-cutting instrument accesses one cavity wall; the right-cutting instrument accesses the opposing wall. This pairing ensures that all cavity surfaces can be trimmed with proper edge presentation, regardless of their orientation.

Subclass VariantDefinitionClinical Use
Left-cuttingBevel on the left side of the blade when blade is held upward and shank points awayCutting walls and floors on the operator’s left side
Right-cuttingBevel on the right side under same orientation conventionCutting walls and floors on the operator’s right side
StraightNo lateral curvature; blade in a single planeAccessible surfaces with direct line of approach
Bin-angleOne neck angulation offset from handle axisPosterior access where straight approach is obstructed
Triple-angleTwo neck angulations providing compound offsetDeep posterior cavities, linguoproximal walls
Subclass and the G.V. Black Formula The three- or four-number G.V. Black formula (e.g., 10-85-8 or 10-7-14-8) encodes blade width, cutting edge angle, and blade length. When a fourth number appears, it records the angulation of the blade in the second plane — which directly maps to Subclass distinctions like bin-angle or triple-angle geometry.

#Applying the Taxonomy Clinically

Understanding the four-level taxonomy transforms instrument selection from a memorised list into a reasoned process. Given any hand cutting task, a clinician can work through the hierarchy systematically:

  1. Determine Order: Is a cutting edge needed? If yes → Order 1. If the task is condensing, burnishing, or placing → Order 2 (out of scope for this taxonomy).
  2. Identify Suborder: Should force be applied by hand pressure (Suborder I), a mallet (Suborder II), or rotary drive (Suborder III)? For most cavity refinement tasks, Suborder I is appropriate.
  3. Select the Class: Identify the geometry of the target surface. Is it accessible in line with the handle (Classes 1–2), at 90° (Classes 3–4), or does it require an offset or parallel-edge approach (Classes 5–6)? Match the cavity wall orientation to the blade–shank geometry.
  4. Choose the Subclass: Within the appropriate Class, select the specific blade form — left- or right-cutting, straight or angled neck — that presents the cutting edge squarely against the target surface without the shank obstructing access.

Worked Example: Mesial Proximal Wall of a Class II Cavity

To plane the mesial proximal wall of a maxillary molar Class II cavity: the task requires Order 1 (cutting); force delivered by hand pressure (Suborder I); the wall is approximately perpendicular to the buccal approach, so a Class 3 blade geometry (blade at 90° to handle) is appropriate; the wall faces mesially so a left- or right-cutting hatchet Subclass is chosen based on which side the wall sits relative to the operator. The result: a mesial hatchet, Suborder I, Class 3, left-cutting Subclass.

#Quick Reference Table

LevelCategoriesBasis of DivisionClinical Impact
Order1 (Cutting) / 2 (Non-cutting)Presence of a cutting edgeDetermines if instrument cuts tooth structure
SuborderI (Hand) / II (Mallet) / III (Rotary)Mechanism of force applicationDetermines power source and force control
Class 1Blade in-line, edge at 90°Blade–shank axis geometryStraight push cut along handle direction
Class 2Blade in-line, edge obliqueBlade–shank axis geometrySlicing push with lateral component
Class 3Blade at 90°, edge perpendicular to bladeBlade–shank axis geometryLateral scraping / pull stroke
Class 4Blade at 90°, edge parallel to bladeBlade–shank axis geometryPull stroke along blade length
Class 5Blade in-line, edge parallel to handleBlade–shank axis geometryLateral push/pull along blade side
Class 6Compound dual-plane offsetBlade–shank axis geometryAccess to complex angles
SubclassLeft/right-cutting; straight/bin-angle/triple-angle; narrow/wideSpecific blade form variantDetermines which wall is accessible; maps to G.V. Black formula 4th number

Key Takeaways

  • G.V. Black’s four-tier taxonomy classifies every hand cutting instrument by Order (cutting vs. not), Suborder (force mechanism), Class (blade–shank geometry), and Subclass (specific blade form).
  • Order 1 (cutting instruments) is the only Order that proceeds through Suborder, Class, and Subclass.
  • Suborder I (hand pressure) contains the vast majority of instruments used in contemporary operative dentistry.
  • The six Classes describe the angle of the blade relative to the handle axis — determining the direction of the cutting stroke and the surfaces accessible to the instrument.
  • Subclass distinctions — particularly left- vs. right-cutting and straight vs. bin-angle — are essential for correct instrument selection in cavity finishing.
  • Working through all four levels systematically allows logical instrument selection rather than rote memorisation.
  • The G.V. Black formula’s four-number variant directly encodes Subclass information (blade angulation in a second plane).

#References

  1. [1]Black GV. A Work on Operative Dentistry. Vol 2: The Technical Procedures in Filling Teeth. Medico-Dental Publishing; 1908.
  2. [2]Roberson TM, Heymann HO, Swift EJ. Sturdevant’s Art and Science of Operative Dentistry. 5th ed. Mosby; 2006. Chapter 11: Instruments and Equipment for Tooth Preparation.
  3. [3]Mount GJ, Hume WR. Preservation and Restoration of Tooth Structure. 2nd ed. Knowledge Books and Software; 2005.
  4. [4]Gilmore HW, Lund MR, Bales DJ, Vernetti J. Operative Dentistry. 4th ed. Mosby; 1982. Chapter 7: Classification and Nomenclature of Dental Instruments.
  5. [5]Baum L, Phillips RW, Lund MR. Textbook of Operative Dentistry. 3rd ed. W.B. Saunders; 1995.
  6. [6]Summit JB, Robbins JW, Schwartz RS. Fundamentals of Operative Dentistry: A Contemporary Approach. 3rd ed. Quintessence; 2006.
Dr Andries Smith
Dr Andries Smith
BChD, MChD (Prosthodontics) — Dental Panda

Dr Smith is a specialist prosthodontist and clinical educator with extensive experience in operative dentistry and restorative technique. He created the Dental Panda wiki to give students and clinicians a reliable, exam-focused reference for core dental concepts.

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