Zachary Roth Music

Calculate Equal Division Frequency

calculate_equal_division_frequency

Read-only

Use this when an agent needs to calculate one deterministic frequency in an equal division of the octave with an optional concert-root transposition. Do not infer ownership, licensing, or unpublished availability.

Input Schema

TableJSON Schema

Name	Required	Description	Default
`division`	Yes
`baseFrequency`	No
`rootSemitones`	No
`divisionsPerCycle`	Yes

Output Schema

TableJSON Schema

Name	Required	Description	Default
No arguments

Schema Changelog

Changes observed during successful MCP inspections.

Changed10 schema fields changedSep 2, 2026

addedInput schema / $schema

Added value: +"http://json-schema.org/draft-07/schema#"

addedInput schema / additionalProperties
```
Added value: +false
```

addedInput schema / properties / baseFrequency

Added value: +{
+  "default": 261.63,
+  "maximum": 20000,
+  "minimum": 20,
+  "type": "number"
+}

addedInput schema / properties / division

Added value: +{
+  "maximum": 16,
+  "minimum": 0,
+  "type": "number"
+}

addedInput schema / properties / divisionsPerCycle

Added value: +{
+  "maximum": 16,
+  "minimum": 5,
+  "type": "integer"
+}

addedInput schema / properties / rootSemitones

Added value: +{
+  "default": 0,
+  "maximum": 11,
+  "minimum": 0,
+  "type": "integer"
+}

addedInput schema / required

Added value: +[
+  "divisionsPerCycle",
+  "division"
+]

addedOutput schema / additionalProperties / $ref
```
Added value: +"#/definitions/__schema0"
```

removedOutput schema / additionalProperties / anyOf

Removed value: -[
-  {
-    "type": "string"
-  },
-  {
-    "type": "number"
-  },
-  {
-    "type": "boolean"
-  },
-  {
-    "type": "null"
-  },
-  {
-    "items": {
-      "$ref": "#/additionalProperties"
-    },
-    "type": "array"
-  },
-  {
-    "additionalProperties": {
-      "$ref": "#/additionalProperties"
-    },
-    "type": "object"
-  }
-]

addedOutput schema / definitions

Added value: +{
+  "__schema0": {
+    "anyOf": [
+      {
+        "type": "string"
+      },
+      {
+        "type": "number"
+      },
+      {
+        "type": "boolean"
+      },
+      {
+        "type": "null"
+      },
+      {
+        "items": {
+          "$ref": "#/definitions/__schema0"
+        },
+        "type": "array"
+      },
+      {
+        "additionalProperties": {
+          "$ref": "#/definitions/__schema0"
+        },
+        "propertyNames": {
+          "type": "string"
+        },
+        "type": "object"
+      }
+    ]
+  }
+}

First observedSep 1, 2026

TDQS

A3.6/5.0

Behavior4/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

Annotations already state readOnlyHint=true and destructiveHint=false, so the tool is known to be safe. The description adds useful context by emphasizing that the result is deterministic and warns against inferring ownership, licensing, or unpublished availability, which goes beyond the annotations to constrain agent behavior after the call.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is tightly written, front-loading the core purpose and then adding a brief cautionary sentence. Every sentence serves a clear function, and it is appropriately sized for the simplicity of the tool.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

With an output schema present, return-value documentation is not needed. However, because the input schema has zero documentation and the description does not clarify parameter meanings or the frequency formula, the tool is not fully self-contained. The mapping between 'division' and 'divisionsPerCycle' is especially ambiguous, which could lead to incorrect invocation.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters2/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

No parameter descriptions exist in the schema, so the description must compensate. While 'equal division of the octave' and 'concert-root transposition' hint at divisionsPerCycle, division, baseFrequency, and rootSemitones, none of the four parameters is explicitly defined or mapped to these concepts. An agent is left guessing what 'division' means (e.g., index vs. count) and how baseFrequency relates to the other inputs.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states a specific action: 'calculate one deterministic frequency in an equal division of the octave with an optional concert-root transposition.' This distinguishes it from sibling tools by focusing on a single computed frequency rather than scale generation or retrieval, though it does not name alternatives explicitly.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines4/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The opening 'Use this when an agent needs to calculate...' gives a clear condition for appropriate use. No exclusions or alternatives are provided, but the context shown is enough to understand when this tool should apply.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

All Zachary Roth Music tools Inspect

Try in Browser

One endpoint for every MCP toolRayrun runs every MCP server behind one URL and holds the credentials. Each call is decided per client, tool, and argument, then recorded.ray.runAd

Glama MCP Gateway

Add one secure layer between your agents and this server.

Resources

Need Help?