Admit cents as the equave when generating equal temperaments

ref #803

CHANGELOG.md

@@ -1,5 +1,8 @@
 # Change log
 
+## 3.0.2
+ * Bug fix: Admit cents as the equave when generating equal temperaments [#803](https://github.com/xenharmonic-devs/scale-workshop/issues/803)
+
 ## 3.0.1
  * Feature: Apply CS margin to variety signature on Analysis tab [#796](https://github.com/xenharmonic-devs/scale-workshop/issues/796)
  * Feature: Approximate Tenney-tall fractions on Analysis tab [#796](https://github.com/xenharmonic-devs/scale-workshop/issues/796)

cypress/e2e/basic.cy.ts

@@ -52,4 +52,18 @@ describe("Scale generation/modification", () => {
     cy.get("button").contains("Done").click();
     cy.get("#scale-data").should("contain.value", "8/7");
   });
-});
+
+  it("generates and displays 5 equal divisions of 1234.5 cents", () => {
+    cy.visit("/");
+
+    cy.get("a").contains("New scale").click();
+    cy.get("a").contains("Equal temperament").click();
+    cy.get("#equave").clear();
+    cy.get("#equave").type('1234.5');
+    cy.get("button").contains("OK").click();
+    cy.get("#scale-data").should("contain.value", "1\\5 ed 1234.5");
+
+    // This is how SonicWeave formats "3\5 ed 1234.5"
+    cy.get('.tuning-table').should("contain", "2469\\4000");
+  })
+});

src/components/modals/generation/EqualTemperament.vue

@@ -47,11 +47,17 @@ function generate(expand = true) {
       }
     } else {
       const ed = modal.divisions
-      const ji = modal.equave.toString()
       if (expand || !modal.simpleEd) {
-        source = modal.degrees.map((steps) => `${steps}\\${ed}<${ji}>`).join('\n')
+        try {
+          // Prefer restricted 7\13<3> form
+          const ji = modal.equave.toFraction().toFraction()
+          source = modal.degrees.map((steps) => `${steps}\\${ed}<${ji}>`).join('\n')
+        } catch {
+          // Fall back to generic 7\13 ed 1912.3456 form
+          source = modal.degrees.map((steps) => `${steps}\\${ed} ed ${modal.equave}`).join('\n')
+        }
       } else {
-        source = `tet(${ed}, ${ji})`
+        source = `tet(${ed}, ${modal.equave})`
       }
     }
     emit('update:source', source)