Zachary Roth Music

Generate Cyclic Scales

generate_cyclic_scales

Read-only

Use this when an agent needs to generate at most 24 canonical cyclic interval words under bounded equal-division, cardinality, interval, reflection, and transpositional-symmetry constraints. Do not infer ownership, licensing, or unpublished availability.

Input Schema

TableJSON Schema

Name	Required	Default
`notes`	Yes
`maxStep`	Yes
`modulus`	Yes
`reflection`	No	any
`limitedTransposition`	No	any

Output Schema

TableJSON Schema

Name	Required	Description	Default
No arguments

Schema Changelog

Changes observed during successful MCP inspections.

Changed11 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 / limitedTransposition

Added value: +{
+  "default": "any",
+  "enum": [
+    "any",
+    "yes",
+    "no"
+  ],
+  "type": "string"
+}

addedInput schema / properties / maxStep

Added value: +{
+  "maximum": 8,
+  "minimum": 1,
+  "type": "integer"
+}

addedInput schema / properties / modulus

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

addedInput schema / properties / notes

Added value: +{
+  "maximum": 10,
+  "minimum": 2,
+  "type": "integer"
+}

addedInput schema / properties / reflection

Added value: +{
+  "default": "any",
+  "enum": [
+    "any",
+    "mixed",
+    "self",
+    "paired",
+    "external"
+  ],
+  "type": "string"
+}

addedInput schema / required

Added value: +[
+  "modulus",
+  "notes",
+  "maxStep"
+]

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

A4.1/5.0

Behavior4/5

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

Annotations already set readOnlyHint=true and destructiveHint=false, so the description adds further behavioral detail: it caps output at 24 items and warns against inferring ownership/licensing. This exceeds what annotations provide and does not contradict them.

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 two sentences with no redundancy. The core purpose is front-loaded, and the additional warning is brief and relevant. Every word earns its place.

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

Completeness3/5

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

Given the presence of an output schema and annotations, some context is already covered. However, with 5 parameters including enums, the description lacks explicit parameter semantics, which could lead to incorrect invocation. The warning about ownership/licenses adds tangential context but does not fill the parameter gap.

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

Parameters3/5

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

Schema description coverage is 0%, so the description must compensate. It mentions constraint categories like equal-division, cardinality, interval, reflection, and transpositional symmetry, which hint at the parameters' roles, but it does not explicitly define each parameter's meaning or range. This is partial compensation.

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

Purpose5/5

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

The description states a specific verb ('generate') and resource ('canonical cyclic interval words'), and notes the bounded constraints and maximum count of 24. This clearly differentiates it from sibling analysis tools like analyze_cyclic_scale.

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 generate...' provides an explicit context for when the tool is appropriate. It does not explicitly mention when not to use it or alternative tools, but the usage condition is clear.

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?